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Finding the Fourth Proportional to 876.20, 1,209.36 and 581.48

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Solution

The fourth proportional to 876.20, 1,209.36 and 581.48 is: 802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.20 : 1,209.36 = 581.48 : x
  2. Step 2: Convert to fraction form
    876.20/1,209.36 = 581.48/x
  3. Step 3: Cross multiply
    876.20x = 1,209.36 × 581.48
  4. Step 4: Simplify right side
    876.20x = 703,218.65
  5. Step 5: Solve for x
    x = 703,218.65/876.20
  6. Step 6: Final answer
    x = 802.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.