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Finding the Fourth Proportional to 953.21, 1,315.58 and 560.24

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Solution

The fourth proportional to 953.21, 1,315.58 and 560.24 is: 773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.21 : 1,315.58 = 560.24 : x
  2. Step 2: Convert to fraction form
    953.21/1,315.58 = 560.24/x
  3. Step 3: Cross multiply
    953.21x = 1,315.58 × 560.24
  4. Step 4: Simplify right side
    953.21x = 737,031.16
  5. Step 5: Solve for x
    x = 737,031.16/953.21
  6. Step 6: Final answer
    x = 773.21

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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.