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Finding the Fourth Proportional to 876.42, 1,209.41 and 483.41

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Solution

The fourth proportional to 876.42, 1,209.41 and 483.41 is: 667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.42 : 1,209.41 = 483.41 : x
  2. Step 2: Convert to fraction form
    876.42/1,209.41 = 483.41/x
  3. Step 3: Cross multiply
    876.42x = 1,209.41 × 483.41
  4. Step 4: Simplify right side
    876.42x = 584,638.47
  5. Step 5: Solve for x
    x = 584,638.47/876.42
  6. Step 6: Final answer
    x = 667.08

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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.