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Finding the Fourth Proportional to 957.15, 1,320.42 and 563.97

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Solution

The fourth proportional to 957.15, 1,320.42 and 563.97 is: 778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.15 : 1,320.42 = 563.97 : x
  2. Step 2: Convert to fraction form
    957.15/1,320.42 = 563.97/x
  3. Step 3: Cross multiply
    957.15x = 1,320.42 × 563.97
  4. Step 4: Simplify right side
    957.15x = 744,677.27
  5. Step 5: Solve for x
    x = 744,677.27/957.15
  6. Step 6: Final answer
    x = 778.02

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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.