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Finding the Fourth Proportional to 862.02, 1,189.65 and 512.70

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Solution

The fourth proportional to 862.02, 1,189.65 and 512.70 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.02 : 1,189.65 = 512.70 : x
  2. Step 2: Convert to fraction form
    862.02/1,189.65 = 512.70/x
  3. Step 3: Cross multiply
    862.02x = 1,189.65 × 512.70
  4. Step 4: Simplify right side
    862.02x = 609,933.56
  5. Step 5: Solve for x
    x = 609,933.56/862.02
  6. Step 6: Final answer
    x = 707.56

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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.