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Finding the Fourth Proportional to 950.04, 1,311.70 and 775.80

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Solution

The fourth proportional to 950.04, 1,311.70 and 775.80 is: 1,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.04 : 1,311.70 = 775.80 : x
  2. Step 2: Convert to fraction form
    950.04/1,311.70 = 775.80/x
  3. Step 3: Cross multiply
    950.04x = 1,311.70 × 775.80
  4. Step 4: Simplify right side
    950.04x = 1,017,616.86
  5. Step 5: Solve for x
    x = 1,017,616.86/950.04
  6. Step 6: Final answer
    x = 1,071.13

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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.