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Finding the Fourth Proportional to 1,100.99, 1,645.54 and 1,013.45

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Solution

The fourth proportional to 1,100.99, 1,645.54 and 1,013.45 is: 1,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.99 : 1,645.54 = 1,013.45 : x
  2. Step 2: Convert to fraction form
    1,100.99/1,645.54 = 1,013.45/x
  3. Step 3: Cross multiply
    1,100.99x = 1,645.54 × 1,013.45
  4. Step 4: Simplify right side
    1,100.99x = 1,667,661.75
  5. Step 5: Solve for x
    x = 1,667,661.75/1,100.99
  6. Step 6: Final answer
    x = 1,514.69

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