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Finding the Fourth Proportional to 1,201.47, 1,658.75 and 869.55

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Solution

The fourth proportional to 1,201.47, 1,658.75 and 869.55 is: 1,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.47 : 1,658.75 = 869.55 : x
  2. Step 2: Convert to fraction form
    1,201.47/1,658.75 = 869.55/x
  3. Step 3: Cross multiply
    1,201.47x = 1,658.75 × 869.55
  4. Step 4: Simplify right side
    1,201.47x = 1,442,366.06
  5. Step 5: Solve for x
    x = 1,442,366.06/1,201.47
  6. Step 6: Final answer
    x = 1,200.50

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1.5x scale

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.