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Finding the Fourth Proportional to 736.29, 1,099.16 and 710.64

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Solution

The fourth proportional to 736.29, 1,099.16 and 710.64 is: 1,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.29 : 1,099.16 = 710.64 : x
  2. Step 2: Convert to fraction form
    736.29/1,099.16 = 710.64/x
  3. Step 3: Cross multiply
    736.29x = 1,099.16 × 710.64
  4. Step 4: Simplify right side
    736.29x = 781,108.84
  5. Step 5: Solve for x
    x = 781,108.84/736.29
  6. Step 6: Final answer
    x = 1,060.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.