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Finding the Fourth Proportional to 1,378.43, 2,068.25 and 558.30

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Solution

The fourth proportional to 1,378.43, 2,068.25 and 558.30 is: 837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.43 : 2,068.25 = 558.30 : x
  2. Step 2: Convert to fraction form
    1,378.43/2,068.25 = 558.30/x
  3. Step 3: Cross multiply
    1,378.43x = 2,068.25 × 558.30
  4. Step 4: Simplify right side
    1,378.43x = 1,154,710.54
  5. Step 5: Solve for x
    x = 1,154,710.54/1,378.43
  6. Step 6: Final answer
    x = 837.70

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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.