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Finding the Fourth Proportional to 1,193.59, 1,648.74 and 1,069.24

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Solution

The fourth proportional to 1,193.59, 1,648.74 and 1,069.24 is: 1,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.59 : 1,648.74 = 1,069.24 : x
  2. Step 2: Convert to fraction form
    1,193.59/1,648.74 = 1,069.24/x
  3. Step 3: Cross multiply
    1,193.59x = 1,648.74 × 1,069.24
  4. Step 4: Simplify right side
    1,193.59x = 1,762,898.76
  5. Step 5: Solve for x
    x = 1,762,898.76/1,193.59
  6. Step 6: Final answer
    x = 1,476.97

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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.