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Finding the Fourth Proportional to 1,019.13, 1,520.88 and 909.78

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Solution

The fourth proportional to 1,019.13, 1,520.88 and 909.78 is: 1,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.13 : 1,520.88 = 909.78 : x
  2. Step 2: Convert to fraction form
    1,019.13/1,520.88 = 909.78/x
  3. Step 3: Cross multiply
    1,019.13x = 1,520.88 × 909.78
  4. Step 4: Simplify right side
    1,019.13x = 1,383,666.21
  5. Step 5: Solve for x
    x = 1,383,666.21/1,019.13
  6. Step 6: Final answer
    x = 1,357.69

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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.