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Finding the Fourth Proportional to 879.64, 1,318.02 and 468.34

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Solution

The fourth proportional to 879.64, 1,318.02 and 468.34 is: 701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,318.02 = 468.34 : x
  2. Step 2: Convert to fraction form
    879.64/1,318.02 = 468.34/x
  3. Step 3: Cross multiply
    879.64x = 1,318.02 × 468.34
  4. Step 4: Simplify right side
    879.64x = 617,281.49
  5. Step 5: Solve for x
    x = 617,281.49/879.64
  6. Step 6: Final answer
    x = 701.74

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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.