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Finding the Fourth Proportional to 732.25, 1,009.11 and 469.81

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Solution

The fourth proportional to 732.25, 1,009.11 and 469.81 is: 647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.25 : 1,009.11 = 469.81 : x
  2. Step 2: Convert to fraction form
    732.25/1,009.11 = 469.81/x
  3. Step 3: Cross multiply
    732.25x = 1,009.11 × 469.81
  4. Step 4: Simplify right side
    732.25x = 474,089.97
  5. Step 5: Solve for x
    x = 474,089.97/732.25
  6. Step 6: Final answer
    x = 647.44

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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.