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Finding the Fourth Proportional to 1,193.00, 1,642.75 and 943.52

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Solution

The fourth proportional to 1,193.00, 1,642.75 and 943.52 is: 1,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.00 : 1,642.75 = 943.52 : x
  2. Step 2: Convert to fraction form
    1,193.00/1,642.75 = 943.52/x
  3. Step 3: Cross multiply
    1,193.00x = 1,642.75 × 943.52
  4. Step 4: Simplify right side
    1,193.00x = 1,549,956.91
  5. Step 5: Solve for x
    x = 1,549,956.91/1,193.00
  6. Step 6: Final answer
    x = 1,299.21

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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.