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Finding the Fourth Proportional to 1,019.69, 1,520.95 and 988.93

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Solution

The fourth proportional to 1,019.69, 1,520.95 and 988.93 is: 1,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.69 : 1,520.95 = 988.93 : x
  2. Step 2: Convert to fraction form
    1,019.69/1,520.95 = 988.93/x
  3. Step 3: Cross multiply
    1,019.69x = 1,520.95 × 988.93
  4. Step 4: Simplify right side
    1,019.69x = 1,504,121.43
  5. Step 5: Solve for x
    x = 1,504,121.43/1,019.69
  6. Step 6: Final answer
    x = 1,475.08

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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.