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Finding the Fourth Proportional to 728.84, 1,006.14 and 467.01

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Solution

The fourth proportional to 728.84, 1,006.14 and 467.01 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.84 : 1,006.14 = 467.01 : x
  2. Step 2: Convert to fraction form
    728.84/1,006.14 = 467.01/x
  3. Step 3: Cross multiply
    728.84x = 1,006.14 × 467.01
  4. Step 4: Simplify right side
    728.84x = 469,877.44
  5. Step 5: Solve for x
    x = 469,877.44/728.84
  6. Step 6: Final answer
    x = 644.70

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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.