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Finding the Fourth Proportional to 735.04, 1,013.70 and 473.08

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Solution

The fourth proportional to 735.04, 1,013.70 and 473.08 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.04 : 1,013.70 = 473.08 : x
  2. Step 2: Convert to fraction form
    735.04/1,013.70 = 473.08/x
  3. Step 3: Cross multiply
    735.04x = 1,013.70 × 473.08
  4. Step 4: Simplify right side
    735.04x = 479,561.20
  5. Step 5: Solve for x
    x = 479,561.20/735.04
  6. Step 6: Final answer
    x = 652.43

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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.