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Finding the Fourth Proportional to 876.33, 1,315.01 and 465.47

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Solution

The fourth proportional to 876.33, 1,315.01 and 465.47 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.33 : 1,315.01 = 465.47 : x
  2. Step 2: Convert to fraction form
    876.33/1,315.01 = 465.47/x
  3. Step 3: Cross multiply
    876.33x = 1,315.01 × 465.47
  4. Step 4: Simplify right side
    876.33x = 612,097.70
  5. Step 5: Solve for x
    x = 612,097.70/876.33
  6. Step 6: Final answer
    x = 698.48

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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.