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Finding the Fourth Proportional to 1,366.89, 1,885.50 and 807.18

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Solution

The fourth proportional to 1,366.89, 1,885.50 and 807.18 is: 1,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.89 : 1,885.50 = 807.18 : x
  2. Step 2: Convert to fraction form
    1,366.89/1,885.50 = 807.18/x
  3. Step 3: Cross multiply
    1,366.89x = 1,885.50 × 807.18
  4. Step 4: Simplify right side
    1,366.89x = 1,521,937.89
  5. Step 5: Solve for x
    x = 1,521,937.89/1,366.89
  6. Step 6: Final answer
    x = 1,113.43

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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.