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Finding the Fourth Proportional to 1,086.04, 1,628.52 and 565.96

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Solution

The fourth proportional to 1,086.04, 1,628.52 and 565.96 is: 848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.04 : 1,628.52 = 565.96 : x
  2. Step 2: Convert to fraction form
    1,086.04/1,628.52 = 565.96/x
  3. Step 3: Cross multiply
    1,086.04x = 1,628.52 × 565.96
  4. Step 4: Simplify right side
    1,086.04x = 921,677.18
  5. Step 5: Solve for x
    x = 921,677.18/1,086.04
  6. Step 6: Final answer
    x = 848.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.