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Finding the Fourth Proportional to 950.42, 1,427.18 and 587.52

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Solution

The fourth proportional to 950.42, 1,427.18 and 587.52 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.42 : 1,427.18 = 587.52 : x
  2. Step 2: Convert to fraction form
    950.42/1,427.18 = 587.52/x
  3. Step 3: Cross multiply
    950.42x = 1,427.18 × 587.52
  4. Step 4: Simplify right side
    950.42x = 838,496.79
  5. Step 5: Solve for x
    x = 838,496.79/950.42
  6. Step 6: Final answer
    x = 882.24

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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.