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Finding the Fourth Proportional to 729.32, 1,006.02 and 554.60

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Solution

The fourth proportional to 729.32, 1,006.02 and 554.60 is: 765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.32 : 1,006.02 = 554.60 : x
  2. Step 2: Convert to fraction form
    729.32/1,006.02 = 554.60/x
  3. Step 3: Cross multiply
    729.32x = 1,006.02 × 554.60
  4. Step 4: Simplify right side
    729.32x = 557,938.69
  5. Step 5: Solve for x
    x = 557,938.69/729.32
  6. Step 6: Final answer
    x = 765.01

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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.