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Finding the Fourth Proportional to 1,085.84, 1,498.47 and 613.81

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Solution

The fourth proportional to 1,085.84, 1,498.47 and 613.81 is: 847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.84 : 1,498.47 = 613.81 : x
  2. Step 2: Convert to fraction form
    1,085.84/1,498.47 = 613.81/x
  3. Step 3: Cross multiply
    1,085.84x = 1,498.47 × 613.81
  4. Step 4: Simplify right side
    1,085.84x = 919,775.44
  5. Step 5: Solve for x
    x = 919,775.44/1,085.84
  6. Step 6: Final answer
    x = 847.06

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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.