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Finding the Fourth Proportional to 960.57, 1,438.17 and 497.36

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Solution

The fourth proportional to 960.57, 1,438.17 and 497.36 is: 744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.57 : 1,438.17 = 497.36 : x
  2. Step 2: Convert to fraction form
    960.57/1,438.17 = 497.36/x
  3. Step 3: Cross multiply
    960.57x = 1,438.17 × 497.36
  4. Step 4: Simplify right side
    960.57x = 715,281.04
  5. Step 5: Solve for x
    x = 715,281.04/960.57
  6. Step 6: Final answer
    x = 744.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.