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Finding the Fourth Proportional to 844.67, 1,165.65 and 471.68

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Solution

The fourth proportional to 844.67, 1,165.65 and 471.68 is: 650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.67 : 1,165.65 = 471.68 : x
  2. Step 2: Convert to fraction form
    844.67/1,165.65 = 471.68/x
  3. Step 3: Cross multiply
    844.67x = 1,165.65 × 471.68
  4. Step 4: Simplify right side
    844.67x = 549,815.17
  5. Step 5: Solve for x
    x = 549,815.17/844.67
  6. Step 6: Final answer
    x = 650.92

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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.