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Finding the Fourth Proportional to 735.40, 1,013.70 and 502.12

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Solution

The fourth proportional to 735.40, 1,013.70 and 502.12 is: 692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.40 : 1,013.70 = 502.12 : x
  2. Step 2: Convert to fraction form
    735.40/1,013.70 = 502.12/x
  3. Step 3: Cross multiply
    735.40x = 1,013.70 × 502.12
  4. Step 4: Simplify right side
    735.40x = 508,999.04
  5. Step 5: Solve for x
    x = 508,999.04/735.40
  6. Step 6: Final answer
    x = 692.14

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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.