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Finding the Fourth Proportional to 1,562.70, 2,343.57 and 740.73

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Solution

The fourth proportional to 1,562.70, 2,343.57 and 740.73 is: 1,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.70 : 2,343.57 = 740.73 : x
  2. Step 2: Convert to fraction form
    1,562.70/2,343.57 = 740.73/x
  3. Step 3: Cross multiply
    1,562.70x = 2,343.57 × 740.73
  4. Step 4: Simplify right side
    1,562.70x = 1,735,952.61
  5. Step 5: Solve for x
    x = 1,735,952.61/1,562.70
  6. Step 6: Final answer
    x = 1,110.87

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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.