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Finding the Fourth Proportional to 953.69, 1,315.99 and 560.57

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Solution

The fourth proportional to 953.69, 1,315.99 and 560.57 is: 773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.69 : 1,315.99 = 560.57 : x
  2. Step 2: Convert to fraction form
    953.69/1,315.99 = 560.57/x
  3. Step 3: Cross multiply
    953.69x = 1,315.99 × 560.57
  4. Step 4: Simplify right side
    953.69x = 737,704.51
  5. Step 5: Solve for x
    x = 737,704.51/953.69
  6. Step 6: Final answer
    x = 773.53

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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.