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Finding the Fourth Proportional to 876.68, 1,313.94 and 464.78

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Solution

The fourth proportional to 876.68, 1,313.94 and 464.78 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,313.94 = 464.78 : x
  2. Step 2: Convert to fraction form
    876.68/1,313.94 = 464.78/x
  3. Step 3: Cross multiply
    876.68x = 1,313.94 × 464.78
  4. Step 4: Simplify right side
    876.68x = 610,693.03
  5. Step 5: Solve for x
    x = 610,693.03/876.68
  6. Step 6: Final answer
    x = 696.60

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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.