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Finding the Fourth Proportional to 1,010.85, 1,515.60 and 491.10

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Solution

The fourth proportional to 1,010.85, 1,515.60 and 491.10 is: 736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.85 : 1,515.60 = 491.10 : x
  2. Step 2: Convert to fraction form
    1,010.85/1,515.60 = 491.10/x
  3. Step 3: Cross multiply
    1,010.85x = 1,515.60 × 491.10
  4. Step 4: Simplify right side
    1,010.85x = 744,311.16
  5. Step 5: Solve for x
    x = 744,311.16/1,010.85
  6. Step 6: Final answer
    x = 736.32

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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.