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Finding the Fourth Proportional to 813.95, 1,217.80 and 467.45

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Solution

The fourth proportional to 813.95, 1,217.80 and 467.45 is: 699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.95 : 1,217.80 = 467.45 : x
  2. Step 2: Convert to fraction form
    813.95/1,217.80 = 467.45/x
  3. Step 3: Cross multiply
    813.95x = 1,217.80 × 467.45
  4. Step 4: Simplify right side
    813.95x = 569,260.61
  5. Step 5: Solve for x
    x = 569,260.61/813.95
  6. Step 6: Final answer
    x = 699.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.