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Finding the Fourth Proportional to 876.60, 1,313.52 and 465.63

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Solution

The fourth proportional to 876.60, 1,313.52 and 465.63 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,313.52 = 465.63 : x
  2. Step 2: Convert to fraction form
    876.60/1,313.52 = 465.63/x
  3. Step 3: Cross multiply
    876.60x = 1,313.52 × 465.63
  4. Step 4: Simplify right side
    876.60x = 611,614.32
  5. Step 5: Solve for x
    x = 611,614.32/876.60
  6. Step 6: Final answer
    x = 697.71

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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.