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Finding the Fourth Proportional to 1,193.60, 1,648.02 and 774.20

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Solution

The fourth proportional to 1,193.60, 1,648.02 and 774.20 is: 1,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.60 : 1,648.02 = 774.20 : x
  2. Step 2: Convert to fraction form
    1,193.60/1,648.02 = 774.20/x
  3. Step 3: Cross multiply
    1,193.60x = 1,648.02 × 774.20
  4. Step 4: Simplify right side
    1,193.60x = 1,275,897.08
  5. Step 5: Solve for x
    x = 1,275,897.08/1,193.60
  6. Step 6: Final answer
    x = 1,068.95

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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.