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Finding the Fourth Proportional to 862.95, 1,189.49 and 530.65

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Solution

The fourth proportional to 862.95, 1,189.49 and 530.65 is: 731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.95 : 1,189.49 = 530.65 : x
  2. Step 2: Convert to fraction form
    862.95/1,189.49 = 530.65/x
  3. Step 3: Cross multiply
    862.95x = 1,189.49 × 530.65
  4. Step 4: Simplify right side
    862.95x = 631,201.70
  5. Step 5: Solve for x
    x = 631,201.70/862.95
  6. Step 6: Final answer
    x = 731.44

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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.