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Finding the Fourth Proportional to 953.45, 1,315.97 and 560.55

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Solution

The fourth proportional to 953.45, 1,315.97 and 560.55 is: 773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.45 : 1,315.97 = 560.55 : x
  2. Step 2: Convert to fraction form
    953.45/1,315.97 = 560.55/x
  3. Step 3: Cross multiply
    953.45x = 1,315.97 × 560.55
  4. Step 4: Simplify right side
    953.45x = 737,664.18
  5. Step 5: Solve for x
    x = 737,664.18/953.45
  6. Step 6: Final answer
    x = 773.68

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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.