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Finding the Fourth Proportional to 950.49, 1,311.75 and 525.20

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Solution

The fourth proportional to 950.49, 1,311.75 and 525.20 is: 724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.49 : 1,311.75 = 525.20 : x
  2. Step 2: Convert to fraction form
    950.49/1,311.75 = 525.20/x
  3. Step 3: Cross multiply
    950.49x = 1,311.75 × 525.20
  4. Step 4: Simplify right side
    950.49x = 688,931.10
  5. Step 5: Solve for x
    x = 688,931.10/950.49
  6. Step 6: Final answer
    x = 724.82

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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.