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Finding the Fourth Proportional to 1,085.55, 1,498.19 and 613.50

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Solution

The fourth proportional to 1,085.55, 1,498.19 and 613.50 is: 846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.55 : 1,498.19 = 613.50 : x
  2. Step 2: Convert to fraction form
    1,085.55/1,498.19 = 613.50/x
  3. Step 3: Cross multiply
    1,085.55x = 1,498.19 × 613.50
  4. Step 4: Simplify right side
    1,085.55x = 919,139.57
  5. Step 5: Solve for x
    x = 919,139.57/1,085.55
  6. Step 6: Final answer
    x = 846.70

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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.