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Finding the Fourth Proportional to 1,077.46, 1,483.56 and 842.36

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Solution

The fourth proportional to 1,077.46, 1,483.56 and 842.36 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.46 : 1,483.56 = 842.36 : x
  2. Step 2: Convert to fraction form
    1,077.46/1,483.56 = 842.36/x
  3. Step 3: Cross multiply
    1,077.46x = 1,483.56 × 842.36
  4. Step 4: Simplify right side
    1,077.46x = 1,249,691.60
  5. Step 5: Solve for x
    x = 1,249,691.60/1,077.46
  6. Step 6: Final answer
    x = 1,159.85

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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.