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Finding the Fourth Proportional to 953.42, 1,315.85 and 560.57

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Solution

The fourth proportional to 953.42, 1,315.85 and 560.57 is: 773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.42 : 1,315.85 = 560.57 : x
  2. Step 2: Convert to fraction form
    953.42/1,315.85 = 560.57/x
  3. Step 3: Cross multiply
    953.42x = 1,315.85 × 560.57
  4. Step 4: Simplify right side
    953.42x = 737,626.03
  5. Step 5: Solve for x
    x = 737,626.03/953.42
  6. Step 6: Final answer
    x = 773.66

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1.5x scale

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.