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Finding the Fourth Proportional to 729.04, 1,005.68 and 463.00

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Solution

The fourth proportional to 729.04, 1,005.68 and 463.00 is: 638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.04 : 1,005.68 = 463.00 : x
  2. Step 2: Convert to fraction form
    729.04/1,005.68 = 463.00/x
  3. Step 3: Cross multiply
    729.04x = 1,005.68 × 463.00
  4. Step 4: Simplify right side
    729.04x = 465,622.50
  5. Step 5: Solve for x
    x = 465,622.50/729.04
  6. Step 6: Final answer
    x = 638.68

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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.