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Finding the Fourth Proportional to 1,490.75, 2,234.66 and 710.54

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Solution

The fourth proportional to 1,490.75, 2,234.66 and 710.54 is: 1,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.75 : 2,234.66 = 710.54 : x
  2. Step 2: Convert to fraction form
    1,490.75/2,234.66 = 710.54/x
  3. Step 3: Cross multiply
    1,490.75x = 2,234.66 × 710.54
  4. Step 4: Simplify right side
    1,490.75x = 1,587,800.59
  5. Step 5: Solve for x
    x = 1,587,800.59/1,490.75
  6. Step 6: Final answer
    x = 1,065.11

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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.