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Finding the Fourth Proportional to 1,044.30, 1,566.45 and 922.80

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Solution

The fourth proportional to 1,044.30, 1,566.45 and 922.80 is: 1,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.30 : 1,566.45 = 922.80 : x
  2. Step 2: Convert to fraction form
    1,044.30/1,566.45 = 922.80/x
  3. Step 3: Cross multiply
    1,044.30x = 1,566.45 × 922.80
  4. Step 4: Simplify right side
    1,044.30x = 1,445,520.06
  5. Step 5: Solve for x
    x = 1,445,520.06/1,044.30
  6. Step 6: Final answer
    x = 1,384.20

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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.