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Finding the Fourth Proportional to 1,085.86, 1,498.52 and 613.77

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Solution

The fourth proportional to 1,085.86, 1,498.52 and 613.77 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.86 : 1,498.52 = 613.77 : x
  2. Step 2: Convert to fraction form
    1,085.86/1,498.52 = 613.77/x
  3. Step 3: Cross multiply
    1,085.86x = 1,498.52 × 613.77
  4. Step 4: Simplify right side
    1,085.86x = 919,748.15
  5. Step 5: Solve for x
    x = 919,748.15/1,085.86
  6. Step 6: Final answer
    x = 847.02

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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.