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Finding the Fourth Proportional to 876.24, 1,209.36 and 522.18

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Solution

The fourth proportional to 876.24, 1,209.36 and 522.18 is: 720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,209.36 = 522.18 : x
  2. Step 2: Convert to fraction form
    876.24/1,209.36 = 522.18/x
  3. Step 3: Cross multiply
    876.24x = 1,209.36 × 522.18
  4. Step 4: Simplify right side
    876.24x = 631,503.60
  5. Step 5: Solve for x
    x = 631,503.60/876.24
  6. Step 6: Final answer
    x = 720.70

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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.