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Finding the Fourth Proportional to 1,064.27, 1,592.39 and 956.36

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Solution

The fourth proportional to 1,064.27, 1,592.39 and 956.36 is: 1,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.27 : 1,592.39 = 956.36 : x
  2. Step 2: Convert to fraction form
    1,064.27/1,592.39 = 956.36/x
  3. Step 3: Cross multiply
    1,064.27x = 1,592.39 × 956.36
  4. Step 4: Simplify right side
    1,064.27x = 1,522,898.10
  5. Step 5: Solve for x
    x = 1,522,898.10/1,064.27
  6. Step 6: Final answer
    x = 1,430.93

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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.