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Finding the Fourth Proportional to 1,177.46, 1,766.46 and 397.45

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Solution

The fourth proportional to 1,177.46, 1,766.46 and 397.45 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.46 : 1,766.46 = 397.45 : x
  2. Step 2: Convert to fraction form
    1,177.46/1,766.46 = 397.45/x
  3. Step 3: Cross multiply
    1,177.46x = 1,766.46 × 397.45
  4. Step 4: Simplify right side
    1,177.46x = 702,079.53
  5. Step 5: Solve for x
    x = 702,079.53/1,177.46
  6. Step 6: Final answer
    x = 596.27

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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.