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Finding the Fourth Proportional to 876.58, 1,315.37 and 465.73

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Solution

The fourth proportional to 876.58, 1,315.37 and 465.73 is: 698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.58 : 1,315.37 = 465.73 : x
  2. Step 2: Convert to fraction form
    876.58/1,315.37 = 465.73/x
  3. Step 3: Cross multiply
    876.58x = 1,315.37 × 465.73
  4. Step 4: Simplify right side
    876.58x = 612,605.15
  5. Step 5: Solve for x
    x = 612,605.15/876.58
  6. Step 6: Final answer
    x = 698.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.