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Finding the Fourth Proportional to 1,490.10, 2,234.52 and 565.20

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Solution

The fourth proportional to 1,490.10, 2,234.52 and 565.20 is: 847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.10 : 2,234.52 = 565.20 : x
  2. Step 2: Convert to fraction form
    1,490.10/2,234.52 = 565.20/x
  3. Step 3: Cross multiply
    1,490.10x = 2,234.52 × 565.20
  4. Step 4: Simplify right side
    1,490.10x = 1,262,950.70
  5. Step 5: Solve for x
    x = 1,262,950.70/1,490.10
  6. Step 6: Final answer
    x = 847.56

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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.