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Finding the Fourth Proportional to 950.15, 1,427.54 and 897.71

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Solution

The fourth proportional to 950.15, 1,427.54 and 897.71 is: 1,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.15 : 1,427.54 = 897.71 : x
  2. Step 2: Convert to fraction form
    950.15/1,427.54 = 897.71/x
  3. Step 3: Cross multiply
    950.15x = 1,427.54 × 897.71
  4. Step 4: Simplify right side
    950.15x = 1,281,505.31
  5. Step 5: Solve for x
    x = 1,281,505.31/950.15
  6. Step 6: Final answer
    x = 1,348.74

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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.