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Finding the Fourth Proportional to 1,008.38, 1,509.36 and 658.92

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Solution

The fourth proportional to 1,008.38, 1,509.36 and 658.92 is: 986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.38 : 1,509.36 = 658.92 : x
  2. Step 2: Convert to fraction form
    1,008.38/1,509.36 = 658.92/x
  3. Step 3: Cross multiply
    1,008.38x = 1,509.36 × 658.92
  4. Step 4: Simplify right side
    1,008.38x = 994,547.49
  5. Step 5: Solve for x
    x = 994,547.49/1,008.38
  6. Step 6: Final answer
    x = 986.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.