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Finding the Fourth Proportional to 876.52, 1,209.51 and 540.37

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Solution

The fourth proportional to 876.52, 1,209.51 and 540.37 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.52 : 1,209.51 = 540.37 : x
  2. Step 2: Convert to fraction form
    876.52/1,209.51 = 540.37/x
  3. Step 3: Cross multiply
    876.52x = 1,209.51 × 540.37
  4. Step 4: Simplify right side
    876.52x = 653,582.92
  5. Step 5: Solve for x
    x = 653,582.92/876.52
  6. Step 6: Final answer
    x = 745.66

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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.