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Finding the Fourth Proportional to 1,373.60, 2,057.70 and 824.15

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Solution

The fourth proportional to 1,373.60, 2,057.70 and 824.15 is: 1,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.60 : 2,057.70 = 824.15 : x
  2. Step 2: Convert to fraction form
    1,373.60/2,057.70 = 824.15/x
  3. Step 3: Cross multiply
    1,373.60x = 2,057.70 × 824.15
  4. Step 4: Simplify right side
    1,373.60x = 1,695,853.46
  5. Step 5: Solve for x
    x = 1,695,853.46/1,373.60
  6. Step 6: Final answer
    x = 1,234.61

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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.