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Finding the Fourth Proportional to 1,188.19, 1,782.65 and 842.20

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Solution

The fourth proportional to 1,188.19, 1,782.65 and 842.20 is: 1,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.19 : 1,782.65 = 842.20 : x
  2. Step 2: Convert to fraction form
    1,188.19/1,782.65 = 842.20/x
  3. Step 3: Cross multiply
    1,188.19x = 1,782.65 × 842.20
  4. Step 4: Simplify right side
    1,188.19x = 1,501,339.16
  5. Step 5: Solve for x
    x = 1,501,339.16/1,188.19
  6. Step 6: Final answer
    x = 1,263.55

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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.