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Finding the Fourth Proportional to 1,169.80, 1,615.90 and 951.52

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Solution

The fourth proportional to 1,169.80, 1,615.90 and 951.52 is: 1,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.80 : 1,615.90 = 951.52 : x
  2. Step 2: Convert to fraction form
    1,169.80/1,615.90 = 951.52/x
  3. Step 3: Cross multiply
    1,169.80x = 1,615.90 × 951.52
  4. Step 4: Simplify right side
    1,169.80x = 1,537,561.17
  5. Step 5: Solve for x
    x = 1,537,561.17/1,169.80
  6. Step 6: Final answer
    x = 1,314.38

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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.