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Finding the Fourth Proportional to 1,044.57, 1,441.08 and 624.82

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Solution

The fourth proportional to 1,044.57, 1,441.08 and 624.82 is: 862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.57 : 1,441.08 = 624.82 : x
  2. Step 2: Convert to fraction form
    1,044.57/1,441.08 = 624.82/x
  3. Step 3: Cross multiply
    1,044.57x = 1,441.08 × 624.82
  4. Step 4: Simplify right side
    1,044.57x = 900,415.61
  5. Step 5: Solve for x
    x = 900,415.61/1,044.57
  6. Step 6: Final answer
    x = 862.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.