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Finding the Fourth Proportional to 1,110.59, 1,658.89 and 815.48

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Solution

The fourth proportional to 1,110.59, 1,658.89 and 815.48 is: 1,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.59 : 1,658.89 = 815.48 : x
  2. Step 2: Convert to fraction form
    1,110.59/1,658.89 = 815.48/x
  3. Step 3: Cross multiply
    1,110.59x = 1,658.89 × 815.48
  4. Step 4: Simplify right side
    1,110.59x = 1,352,790.56
  5. Step 5: Solve for x
    x = 1,352,790.56/1,110.59
  6. Step 6: Final answer
    x = 1,218.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.