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Finding the Fourth Proportional to 1,011.18, 1,515.66 and 394.70

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Solution

The fourth proportional to 1,011.18, 1,515.66 and 394.70 is: 591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.18 : 1,515.66 = 394.70 : x
  2. Step 2: Convert to fraction form
    1,011.18/1,515.66 = 394.70/x
  3. Step 3: Cross multiply
    1,011.18x = 1,515.66 × 394.70
  4. Step 4: Simplify right side
    1,011.18x = 598,231.00
  5. Step 5: Solve for x
    x = 598,231.00/1,011.18
  6. Step 6: Final answer
    x = 591.62

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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.