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Finding the Fourth Proportional to 1,110.59, 1,532.61 and 613.30

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Solution

The fourth proportional to 1,110.59, 1,532.61 and 613.30 is: 846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.59 : 1,532.61 = 613.30 : x
  2. Step 2: Convert to fraction form
    1,110.59/1,532.61 = 613.30/x
  3. Step 3: Cross multiply
    1,110.59x = 1,532.61 × 613.30
  4. Step 4: Simplify right side
    1,110.59x = 939,948.43
  5. Step 5: Solve for x
    x = 939,948.43/1,110.59
  6. Step 6: Final answer
    x = 846.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.