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Finding the Fourth Proportional to 1,122.65, 1,549.26 and 625.31

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Solution

The fourth proportional to 1,122.65, 1,549.26 and 625.31 is: 862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.65 : 1,549.26 = 625.31 : x
  2. Step 2: Convert to fraction form
    1,122.65/1,549.26 = 625.31/x
  3. Step 3: Cross multiply
    1,122.65x = 1,549.26 × 625.31
  4. Step 4: Simplify right side
    1,122.65x = 968,760.02
  5. Step 5: Solve for x
    x = 968,760.02/1,122.65
  6. Step 6: Final answer
    x = 862.93

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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.