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Finding the Fourth Proportional to 1,062.35, 1,594.68 and 844.37

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Solution

The fourth proportional to 1,062.35, 1,594.68 and 844.37 is: 1,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.35 : 1,594.68 = 844.37 : x
  2. Step 2: Convert to fraction form
    1,062.35/1,594.68 = 844.37/x
  3. Step 3: Cross multiply
    1,062.35x = 1,594.68 × 844.37
  4. Step 4: Simplify right side
    1,062.35x = 1,346,499.95
  5. Step 5: Solve for x
    x = 1,346,499.95/1,062.35
  6. Step 6: Final answer
    x = 1,267.48

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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.