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Finding the Fourth Proportional to 875.10, 1,207.97 and 580.78

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Solution

The fourth proportional to 875.10, 1,207.97 and 580.78 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.10 : 1,207.97 = 580.78 : x
  2. Step 2: Convert to fraction form
    875.10/1,207.97 = 580.78/x
  3. Step 3: Cross multiply
    875.10x = 1,207.97 × 580.78
  4. Step 4: Simplify right side
    875.10x = 701,564.82
  5. Step 5: Solve for x
    x = 701,564.82/875.10
  6. Step 6: Final answer
    x = 801.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.