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Finding the Fourth Proportional to 986.35, 1,360.96 and 566.69

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Solution

The fourth proportional to 986.35, 1,360.96 and 566.69 is: 781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.35 : 1,360.96 = 566.69 : x
  2. Step 2: Convert to fraction form
    986.35/1,360.96 = 566.69/x
  3. Step 3: Cross multiply
    986.35x = 1,360.96 × 566.69
  4. Step 4: Simplify right side
    986.35x = 771,242.42
  5. Step 5: Solve for x
    x = 771,242.42/986.35
  6. Step 6: Final answer
    x = 781.92

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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.