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Finding the Fourth Proportional to 795.68, 1,097.70 and 563.12

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Solution

The fourth proportional to 795.68, 1,097.70 and 563.12 is: 776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.68 : 1,097.70 = 563.12 : x
  2. Step 2: Convert to fraction form
    795.68/1,097.70 = 563.12/x
  3. Step 3: Cross multiply
    795.68x = 1,097.70 × 563.12
  4. Step 4: Simplify right side
    795.68x = 618,136.82
  5. Step 5: Solve for x
    x = 618,136.82/795.68
  6. Step 6: Final answer
    x = 776.87

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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.