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Finding the Fourth Proportional to 1,038.44, 1,432.95 and 842.42

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Solution

The fourth proportional to 1,038.44, 1,432.95 and 842.42 is: 1,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.44 : 1,432.95 = 842.42 : x
  2. Step 2: Convert to fraction form
    1,038.44/1,432.95 = 842.42/x
  3. Step 3: Cross multiply
    1,038.44x = 1,432.95 × 842.42
  4. Step 4: Simplify right side
    1,038.44x = 1,207,145.74
  5. Step 5: Solve for x
    x = 1,207,145.74/1,038.44
  6. Step 6: Final answer
    x = 1,162.46

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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.