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Finding the Fourth Proportional to 1,113.49, 1,537.23 and 740.76

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Solution

The fourth proportional to 1,113.49, 1,537.23 and 740.76 is: 1,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.49 : 1,537.23 = 740.76 : x
  2. Step 2: Convert to fraction form
    1,113.49/1,537.23 = 740.76/x
  3. Step 3: Cross multiply
    1,113.49x = 1,537.23 × 740.76
  4. Step 4: Simplify right side
    1,113.49x = 1,138,718.49
  5. Step 5: Solve for x
    x = 1,138,718.49/1,113.49
  6. Step 6: Final answer
    x = 1,022.66

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.