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Finding the Fourth Proportional to 735.13, 1,014.69 and 524.97

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Solution

The fourth proportional to 735.13, 1,014.69 and 524.97 is: 724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.13 : 1,014.69 = 524.97 : x
  2. Step 2: Convert to fraction form
    735.13/1,014.69 = 524.97/x
  3. Step 3: Cross multiply
    735.13x = 1,014.69 × 524.97
  4. Step 4: Simplify right side
    735.13x = 532,681.81
  5. Step 5: Solve for x
    x = 532,681.81/735.13
  6. Step 6: Final answer
    x = 724.61

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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.