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Finding the Fourth Proportional to 1,006.38, 1,509.33 and 956.97

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Solution

The fourth proportional to 1,006.38, 1,509.33 and 956.97 is: 1,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.38 : 1,509.33 = 956.97 : x
  2. Step 2: Convert to fraction form
    1,006.38/1,509.33 = 956.97/x
  3. Step 3: Cross multiply
    1,006.38x = 1,509.33 × 956.97
  4. Step 4: Simplify right side
    1,006.38x = 1,444,383.53
  5. Step 5: Solve for x
    x = 1,444,383.53/1,006.38
  6. Step 6: Final answer
    x = 1,435.23

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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.