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Finding the Fourth Proportional to 1,007.57, 1,510.43 and 699.57

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Solution

The fourth proportional to 1,007.57, 1,510.43 and 699.57 is: 1,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.57 : 1,510.43 = 699.57 : x
  2. Step 2: Convert to fraction form
    1,007.57/1,510.43 = 699.57/x
  3. Step 3: Cross multiply
    1,007.57x = 1,510.43 × 699.57
  4. Step 4: Simplify right side
    1,007.57x = 1,056,651.52
  5. Step 5: Solve for x
    x = 1,056,651.52/1,007.57
  6. Step 6: Final answer
    x = 1,048.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.