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Finding the Fourth Proportional to 1,197.36, 1,793.64 and 579.24

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Solution

The fourth proportional to 1,197.36, 1,793.64 and 579.24 is: 867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.36 : 1,793.64 = 579.24 : x
  2. Step 2: Convert to fraction form
    1,197.36/1,793.64 = 579.24/x
  3. Step 3: Cross multiply
    1,197.36x = 1,793.64 × 579.24
  4. Step 4: Simplify right side
    1,197.36x = 1,038,948.03
  5. Step 5: Solve for x
    x = 1,038,948.03/1,197.36
  6. Step 6: Final answer
    x = 867.70

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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.