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Finding the Fourth Proportional to 876.39, 1,312.20 and 584.34

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Solution

The fourth proportional to 876.39, 1,312.20 and 584.34 is: 874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.39 : 1,312.20 = 584.34 : x
  2. Step 2: Convert to fraction form
    876.39/1,312.20 = 584.34/x
  3. Step 3: Cross multiply
    876.39x = 1,312.20 × 584.34
  4. Step 4: Simplify right side
    876.39x = 766,769.72
  5. Step 5: Solve for x
    x = 766,769.72/876.39
  6. Step 6: Final answer
    x = 874.91

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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.