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Finding the Fourth Proportional to 862.20, 1,189.48 and 530.50

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Solution

The fourth proportional to 862.20, 1,189.48 and 530.50 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.20 : 1,189.48 = 530.50 : x
  2. Step 2: Convert to fraction form
    862.20/1,189.48 = 530.50/x
  3. Step 3: Cross multiply
    862.20x = 1,189.48 × 530.50
  4. Step 4: Simplify right side
    862.20x = 631,019.14
  5. Step 5: Solve for x
    x = 631,019.14/862.20
  6. Step 6: Final answer
    x = 731.87

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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.