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Finding the Fourth Proportional to 879.42, 1,318.73 and 468.45

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Solution

The fourth proportional to 879.42, 1,318.73 and 468.45 is: 702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.42 : 1,318.73 = 468.45 : x
  2. Step 2: Convert to fraction form
    879.42/1,318.73 = 468.45/x
  3. Step 3: Cross multiply
    879.42x = 1,318.73 × 468.45
  4. Step 4: Simplify right side
    879.42x = 617,756.73
  5. Step 5: Solve for x
    x = 617,756.73/879.42
  6. Step 6: Final answer
    x = 702.46

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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.