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Finding the Fourth Proportional to 1,041.66, 1,562.46 and 425.37

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Solution

The fourth proportional to 1,041.66, 1,562.46 and 425.37 is: 638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.66 : 1,562.46 = 425.37 : x
  2. Step 2: Convert to fraction form
    1,041.66/1,562.46 = 425.37/x
  3. Step 3: Cross multiply
    1,041.66x = 1,562.46 × 425.37
  4. Step 4: Simplify right side
    1,041.66x = 664,622.02
  5. Step 5: Solve for x
    x = 664,622.02/1,041.66
  6. Step 6: Final answer
    x = 638.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.