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Finding the Fourth Proportional to 795.16, 1,097.52 and 500.44

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Solution

The fourth proportional to 795.16, 1,097.52 and 500.44 is: 690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.16 : 1,097.52 = 500.44 : x
  2. Step 2: Convert to fraction form
    795.16/1,097.52 = 500.44/x
  3. Step 3: Cross multiply
    795.16x = 1,097.52 × 500.44
  4. Step 4: Simplify right side
    795.16x = 549,242.91
  5. Step 5: Solve for x
    x = 549,242.91/795.16
  6. Step 6: Final answer
    x = 690.73

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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.