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Finding the Fourth Proportional to 1,124.24, 1,552.16 and 726.10

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Solution

The fourth proportional to 1,124.24, 1,552.16 and 726.10 is: 1,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.24 : 1,552.16 = 726.10 : x
  2. Step 2: Convert to fraction form
    1,124.24/1,552.16 = 726.10/x
  3. Step 3: Cross multiply
    1,124.24x = 1,552.16 × 726.10
  4. Step 4: Simplify right side
    1,124.24x = 1,127,023.38
  5. Step 5: Solve for x
    x = 1,127,023.38/1,124.24
  6. Step 6: Final answer
    x = 1,002.48

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.