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Finding the Fourth Proportional to 1,000.92, 1,381.14 and 652.08

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Solution

The fourth proportional to 1,000.92, 1,381.14 and 652.08 is: 899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.92 : 1,381.14 = 652.08 : x
  2. Step 2: Convert to fraction form
    1,000.92/1,381.14 = 652.08/x
  3. Step 3: Cross multiply
    1,000.92x = 1,381.14 × 652.08
  4. Step 4: Simplify right side
    1,000.92x = 900,613.77
  5. Step 5: Solve for x
    x = 900,613.77/1,000.92
  6. Step 6: Final answer
    x = 899.79

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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.