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Finding the Fourth Proportional to 1,363.61, 1,881.88 and 766.17

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Solution

The fourth proportional to 1,363.61, 1,881.88 and 766.17 is: 1,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.61 : 1,881.88 = 766.17 : x
  2. Step 2: Convert to fraction form
    1,363.61/1,881.88 = 766.17/x
  3. Step 3: Cross multiply
    1,363.61x = 1,881.88 × 766.17
  4. Step 4: Simplify right side
    1,363.61x = 1,441,840.00
  5. Step 5: Solve for x
    x = 1,441,840.00/1,363.61
  6. Step 6: Final answer
    x = 1,057.37

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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.