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Finding the Fourth Proportional to 879.81, 1,320.10 and 468.46

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Solution

The fourth proportional to 879.81, 1,320.10 and 468.46 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.81 : 1,320.10 = 468.46 : x
  2. Step 2: Convert to fraction form
    879.81/1,320.10 = 468.46/x
  3. Step 3: Cross multiply
    879.81x = 1,320.10 × 468.46
  4. Step 4: Simplify right side
    879.81x = 618,410.81
  5. Step 5: Solve for x
    x = 618,410.81/879.81
  6. Step 6: Final answer
    x = 702.89

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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.