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Finding the Fourth Proportional to 1,291.28, 1,937.66 and 772.55

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Solution

The fourth proportional to 1,291.28, 1,937.66 and 772.55 is: 1,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.28 : 1,937.66 = 772.55 : x
  2. Step 2: Convert to fraction form
    1,291.28/1,937.66 = 772.55/x
  3. Step 3: Cross multiply
    1,291.28x = 1,937.66 × 772.55
  4. Step 4: Simplify right side
    1,291.28x = 1,496,925.68
  5. Step 5: Solve for x
    x = 1,496,925.68/1,291.28
  6. Step 6: Final answer
    x = 1,159.26

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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.