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Finding the Fourth Proportional to 1,032.14, 1,540.70 and 956

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Solution

The fourth proportional to 1,032.14, 1,540.70 and 956 is: 1,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.14 : 1,540.70 = 956 : x
  2. Step 2: Convert to fraction form
    1,032.14/1,540.70 = 956/x
  3. Step 3: Cross multiply
    1,032.14x = 1,540.70 × 956
  4. Step 4: Simplify right side
    1,032.14x = 1,472,909.20
  5. Step 5: Solve for x
    x = 1,472,909.20/1,032.14
  6. Step 6: Final answer
    x = 1,427.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.