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Finding the Fourth Proportional to 736.76, 1,016.30 and 537.32

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Solution

The fourth proportional to 736.76, 1,016.30 and 537.32 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.76 : 1,016.30 = 537.32 : x
  2. Step 2: Convert to fraction form
    736.76/1,016.30 = 537.32/x
  3. Step 3: Cross multiply
    736.76x = 1,016.30 × 537.32
  4. Step 4: Simplify right side
    736.76x = 546,082.20
  5. Step 5: Solve for x
    x = 546,082.20/736.76
  6. Step 6: Final answer
    x = 741.20

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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.