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Finding the Fourth Proportional to 959.45, 1,438.16 and 547.70

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Solution

The fourth proportional to 959.45, 1,438.16 and 547.70 is: 820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.45 : 1,438.16 = 547.70 : x
  2. Step 2: Convert to fraction form
    959.45/1,438.16 = 547.70/x
  3. Step 3: Cross multiply
    959.45x = 1,438.16 × 547.70
  4. Step 4: Simplify right side
    959.45x = 787,681.09
  5. Step 5: Solve for x
    x = 787,681.09/959.45
  6. Step 6: Final answer
    x = 820.97

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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.