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Finding the Fourth Proportional to 949.35, 1,420.95 and 818.13

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Solution

The fourth proportional to 949.35, 1,420.95 and 818.13 is: 1,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.35 : 1,420.95 = 818.13 : x
  2. Step 2: Convert to fraction form
    949.35/1,420.95 = 818.13/x
  3. Step 3: Cross multiply
    949.35x = 1,420.95 × 818.13
  4. Step 4: Simplify right side
    949.35x = 1,162,521.82
  5. Step 5: Solve for x
    x = 1,162,521.82/949.35
  6. Step 6: Final answer
    x = 1,224.55

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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.