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Finding the Fourth Proportional to 880.47, 1,319.76 and 447.93

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Solution

The fourth proportional to 880.47, 1,319.76 and 447.93 is: 671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,319.76 = 447.93 : x
  2. Step 2: Convert to fraction form
    880.47/1,319.76 = 447.93/x
  3. Step 3: Cross multiply
    880.47x = 1,319.76 × 447.93
  4. Step 4: Simplify right side
    880.47x = 591,160.10
  5. Step 5: Solve for x
    x = 591,160.10/880.47
  6. Step 6: Final answer
    x = 671.41

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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.