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Finding the Fourth Proportional to 1,045.18, 1,568.46 and 395.92

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Solution

The fourth proportional to 1,045.18, 1,568.46 and 395.92 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.18 : 1,568.46 = 395.92 : x
  2. Step 2: Convert to fraction form
    1,045.18/1,568.46 = 395.92/x
  3. Step 3: Cross multiply
    1,045.18x = 1,568.46 × 395.92
  4. Step 4: Simplify right side
    1,045.18x = 620,984.68
  5. Step 5: Solve for x
    x = 620,984.68/1,045.18
  6. Step 6: Final answer
    x = 594.14

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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.