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Finding the Fourth Proportional to 1,018.34, 1,405.34 and 625.14

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Solution

The fourth proportional to 1,018.34, 1,405.34 and 625.14 is: 862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.34 : 1,405.34 = 625.14 : x
  2. Step 2: Convert to fraction form
    1,018.34/1,405.34 = 625.14/x
  3. Step 3: Cross multiply
    1,018.34x = 1,405.34 × 625.14
  4. Step 4: Simplify right side
    1,018.34x = 878,534.25
  5. Step 5: Solve for x
    x = 878,534.25/1,018.34
  6. Step 6: Final answer
    x = 862.71

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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.