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Finding the Fourth Proportional to 1,166.32, 1,747.20 and 588.64

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Solution

The fourth proportional to 1,166.32, 1,747.20 and 588.64 is: 881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.32 : 1,747.20 = 588.64 : x
  2. Step 2: Convert to fraction form
    1,166.32/1,747.20 = 588.64/x
  3. Step 3: Cross multiply
    1,166.32x = 1,747.20 × 588.64
  4. Step 4: Simplify right side
    1,166.32x = 1,028,471.81
  5. Step 5: Solve for x
    x = 1,028,471.81/1,166.32
  6. Step 6: Final answer
    x = 881.81

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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.