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Finding the Fourth Proportional to 862.34, 1,189.71 and 526.37

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Solution

The fourth proportional to 862.34, 1,189.71 and 526.37 is: 726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.34 : 1,189.71 = 526.37 : x
  2. Step 2: Convert to fraction form
    862.34/1,189.71 = 526.37/x
  3. Step 3: Cross multiply
    862.34x = 1,189.71 × 526.37
  4. Step 4: Simplify right side
    862.34x = 626,227.65
  5. Step 5: Solve for x
    x = 626,227.65/862.34
  6. Step 6: Final answer
    x = 726.20

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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.