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Finding the Fourth Proportional to 795.66, 1,097.01 and 500.82

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Solution

The fourth proportional to 795.66, 1,097.01 and 500.82 is: 690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.66 : 1,097.01 = 500.82 : x
  2. Step 2: Convert to fraction form
    795.66/1,097.01 = 500.82/x
  3. Step 3: Cross multiply
    795.66x = 1,097.01 × 500.82
  4. Step 4: Simplify right side
    795.66x = 549,404.55
  5. Step 5: Solve for x
    x = 549,404.55/795.66
  6. Step 6: Final answer
    x = 690.50

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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.