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Finding the Fourth Proportional to 1,000.72, 1,379.72 and 646.04

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Solution

The fourth proportional to 1,000.72, 1,379.72 and 646.04 is: 890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.72 : 1,379.72 = 646.04 : x
  2. Step 2: Convert to fraction form
    1,000.72/1,379.72 = 646.04/x
  3. Step 3: Cross multiply
    1,000.72x = 1,379.72 × 646.04
  4. Step 4: Simplify right side
    1,000.72x = 891,354.31
  5. Step 5: Solve for x
    x = 891,354.31/1,000.72
  6. Step 6: Final answer
    x = 890.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.