Home / 1,149.20-1,584.18-706.76

Finding the Fourth Proportional to 1,149.20, 1,584.18 and 706.76

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Solution

The fourth proportional to 1,149.20, 1,584.18 and 706.76 is: 974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.20 : 1,584.18 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,149.20/1,584.18 = 706.76/x
  3. Step 3: Cross multiply
    1,149.20x = 1,584.18 × 706.76
  4. Step 4: Simplify right side
    1,149.20x = 1,119,635.06
  5. Step 5: Solve for x
    x = 1,119,635.06/1,149.20
  6. Step 6: Final answer
    x = 974.27

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Half scale
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Double scale
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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.