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Finding the Fourth Proportional to 949.06, 1,421.52 and 582.70

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Solution

The fourth proportional to 949.06, 1,421.52 and 582.70 is: 872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.06 : 1,421.52 = 582.70 : x
  2. Step 2: Convert to fraction form
    949.06/1,421.52 = 582.70/x
  3. Step 3: Cross multiply
    949.06x = 1,421.52 × 582.70
  4. Step 4: Simplify right side
    949.06x = 828,319.70
  5. Step 5: Solve for x
    x = 828,319.70/949.06
  6. Step 6: Final answer
    x = 872.78

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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.