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Finding the Fourth Proportional to 876.48, 1,209.60 and 483.50

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Solution

The fourth proportional to 876.48, 1,209.60 and 483.50 is: 667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.48 : 1,209.60 = 483.50 : x
  2. Step 2: Convert to fraction form
    876.48/1,209.60 = 483.50/x
  3. Step 3: Cross multiply
    876.48x = 1,209.60 × 483.50
  4. Step 4: Simplify right side
    876.48x = 584,841.60
  5. Step 5: Solve for x
    x = 584,841.60/876.48
  6. Step 6: Final answer
    x = 667.26

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Why These Related Problems?

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