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Finding the Fourth Proportional to 760.26, 1,049.14 and 424.15

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Solution

The fourth proportional to 760.26, 1,049.14 and 424.15 is: 585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.26 : 1,049.14 = 424.15 : x
  2. Step 2: Convert to fraction form
    760.26/1,049.14 = 424.15/x
  3. Step 3: Cross multiply
    760.26x = 1,049.14 × 424.15
  4. Step 4: Simplify right side
    760.26x = 444,992.73
  5. Step 5: Solve for x
    x = 444,992.73/760.26
  6. Step 6: Final answer
    x = 585.32

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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.