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Finding the Fourth Proportional to 729.11, 1,005.65 and 705

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Solution

The fourth proportional to 729.11, 1,005.65 and 705 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.11 : 1,005.65 = 705 : x
  2. Step 2: Convert to fraction form
    729.11/1,005.65 = 705/x
  3. Step 3: Cross multiply
    729.11x = 1,005.65 × 705
  4. Step 4: Simplify right side
    729.11x = 708,979.73
  5. Step 5: Solve for x
    x = 708,979.73/729.11
  6. Step 6: Final answer
    x = 972.40

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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.