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Finding the Fourth Proportional to 1,177.57, 1,766.63 and 397.55

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Solution

The fourth proportional to 1,177.57, 1,766.63 and 397.55 is: 596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.57 : 1,766.63 = 397.55 : x
  2. Step 2: Convert to fraction form
    1,177.57/1,766.63 = 397.55/x
  3. Step 3: Cross multiply
    1,177.57x = 1,766.63 × 397.55
  4. Step 4: Simplify right side
    1,177.57x = 702,323.76
  5. Step 5: Solve for x
    x = 702,323.76/1,177.57
  6. Step 6: Final answer
    x = 596.42

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1.5x scale

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.