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Finding the Fourth Proportional to 1,079.35, 1,627.98 and 950.95

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Solution

The fourth proportional to 1,079.35, 1,627.98 and 950.95 is: 1,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.35 : 1,627.98 = 950.95 : x
  2. Step 2: Convert to fraction form
    1,079.35/1,627.98 = 950.95/x
  3. Step 3: Cross multiply
    1,079.35x = 1,627.98 × 950.95
  4. Step 4: Simplify right side
    1,079.35x = 1,548,126.82
  5. Step 5: Solve for x
    x = 1,548,126.82/1,079.35
  6. Step 6: Final answer
    x = 1,434.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.