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Finding the Fourth Proportional to 953.05, 1,315.22 and 560.08

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Solution

The fourth proportional to 953.05, 1,315.22 and 560.08 is: 772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.05 : 1,315.22 = 560.08 : x
  2. Step 2: Convert to fraction form
    953.05/1,315.22 = 560.08/x
  3. Step 3: Cross multiply
    953.05x = 1,315.22 × 560.08
  4. Step 4: Simplify right side
    953.05x = 736,628.42
  5. Step 5: Solve for x
    x = 736,628.42/953.05
  6. Step 6: Final answer
    x = 772.92

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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.