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Finding the Fourth Proportional to 1,291.52, 1,779.90 and 959.42

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Solution

The fourth proportional to 1,291.52, 1,779.90 and 959.42 is: 1,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.52 : 1,779.90 = 959.42 : x
  2. Step 2: Convert to fraction form
    1,291.52/1,779.90 = 959.42/x
  3. Step 3: Cross multiply
    1,291.52x = 1,779.90 × 959.42
  4. Step 4: Simplify right side
    1,291.52x = 1,707,671.66
  5. Step 5: Solve for x
    x = 1,707,671.66/1,291.52
  6. Step 6: Final answer
    x = 1,322.22

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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.