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Finding the Fourth Proportional to 1,018.20, 1,404.72 and 625.08

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Solution

The fourth proportional to 1,018.20, 1,404.72 and 625.08 is: 862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.20 : 1,404.72 = 625.08 : x
  2. Step 2: Convert to fraction form
    1,018.20/1,404.72 = 625.08/x
  3. Step 3: Cross multiply
    1,018.20x = 1,404.72 × 625.08
  4. Step 4: Simplify right side
    1,018.20x = 878,062.38
  5. Step 5: Solve for x
    x = 878,062.38/1,018.20
  6. Step 6: Final answer
    x = 862.37

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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.