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Finding the Fourth Proportional to 1,085.90, 1,498.41 and 613.76

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Solution

The fourth proportional to 1,085.90, 1,498.41 and 613.76 is: 846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.90 : 1,498.41 = 613.76 : x
  2. Step 2: Convert to fraction form
    1,085.90/1,498.41 = 613.76/x
  3. Step 3: Cross multiply
    1,085.90x = 1,498.41 × 613.76
  4. Step 4: Simplify right side
    1,085.90x = 919,656.63
  5. Step 5: Solve for x
    x = 919,656.63/1,085.90
  6. Step 6: Final answer
    x = 846.91

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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.