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Finding the Fourth Proportional to 732.06, 1,010.25 and 466.83

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Solution

The fourth proportional to 732.06, 1,010.25 and 466.83 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,010.25 = 466.83 : x
  2. Step 2: Convert to fraction form
    732.06/1,010.25 = 466.83/x
  3. Step 3: Cross multiply
    732.06x = 1,010.25 × 466.83
  4. Step 4: Simplify right side
    732.06x = 471,615.01
  5. Step 5: Solve for x
    x = 471,615.01/732.06
  6. Step 6: Final answer
    x = 644.23

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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.