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Finding the Fourth Proportional to 956.87, 1,320.41 and 537.20

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Solution

The fourth proportional to 956.87, 1,320.41 and 537.20 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.87 : 1,320.41 = 537.20 : x
  2. Step 2: Convert to fraction form
    956.87/1,320.41 = 537.20/x
  3. Step 3: Cross multiply
    956.87x = 1,320.41 × 537.20
  4. Step 4: Simplify right side
    956.87x = 709,314.96
  5. Step 5: Solve for x
    x = 709,314.96/956.87
  6. Step 6: Final answer
    x = 741.29

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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.