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Finding the Fourth Proportional to 956.84, 1,320.03 and 625.14

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Solution

The fourth proportional to 956.84, 1,320.03 and 625.14 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.84 : 1,320.03 = 625.14 : x
  2. Step 2: Convert to fraction form
    956.84/1,320.03 = 625.14/x
  3. Step 3: Cross multiply
    956.84x = 1,320.03 × 625.14
  4. Step 4: Simplify right side
    956.84x = 825,203.55
  5. Step 5: Solve for x
    x = 825,203.55/956.84
  6. Step 6: Final answer
    x = 862.43

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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.