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Finding the Fourth Proportional to 876.57, 1,313.74 and 465.90

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Solution

The fourth proportional to 876.57, 1,313.74 and 465.90 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.57 : 1,313.74 = 465.90 : x
  2. Step 2: Convert to fraction form
    876.57/1,313.74 = 465.90/x
  3. Step 3: Cross multiply
    876.57x = 1,313.74 × 465.90
  4. Step 4: Simplify right side
    876.57x = 612,071.47
  5. Step 5: Solve for x
    x = 612,071.47/876.57
  6. Step 6: Final answer
    x = 698.26

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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.