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Finding the Fourth Proportional to 879.12, 1,319.90 and 446.58

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Solution

The fourth proportional to 879.12, 1,319.90 and 446.58 is: 670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.12 : 1,319.90 = 446.58 : x
  2. Step 2: Convert to fraction form
    879.12/1,319.90 = 446.58/x
  3. Step 3: Cross multiply
    879.12x = 1,319.90 × 446.58
  4. Step 4: Simplify right side
    879.12x = 589,438.71
  5. Step 5: Solve for x
    x = 589,438.71/879.12
  6. Step 6: Final answer
    x = 670.49

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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.