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Finding the Fourth Proportional to 795.52, 1,097.34 and 574.96

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Solution

The fourth proportional to 795.52, 1,097.34 and 574.96 is: 793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.52 : 1,097.34 = 574.96 : x
  2. Step 2: Convert to fraction form
    795.52/1,097.34 = 574.96/x
  3. Step 3: Cross multiply
    795.52x = 1,097.34 × 574.96
  4. Step 4: Simplify right side
    795.52x = 630,926.61
  5. Step 5: Solve for x
    x = 630,926.61/795.52
  6. Step 6: Final answer
    x = 793.10

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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.