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Finding the Fourth Proportional to 795.13, 1,097.50 and 559.13

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Solution

The fourth proportional to 795.13, 1,097.50 and 559.13 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.13 : 1,097.50 = 559.13 : x
  2. Step 2: Convert to fraction form
    795.13/1,097.50 = 559.13/x
  3. Step 3: Cross multiply
    795.13x = 1,097.50 × 559.13
  4. Step 4: Simplify right side
    795.13x = 613,645.18
  5. Step 5: Solve for x
    x = 613,645.18/795.13
  6. Step 6: Final answer
    x = 771.75

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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.