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Finding the Fourth Proportional to 1,033.71, 1,541.29 and 1,015.26

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Solution

The fourth proportional to 1,033.71, 1,541.29 and 1,015.26 is: 1,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.71 : 1,541.29 = 1,015.26 : x
  2. Step 2: Convert to fraction form
    1,033.71/1,541.29 = 1,015.26/x
  3. Step 3: Cross multiply
    1,033.71x = 1,541.29 × 1,015.26
  4. Step 4: Simplify right side
    1,033.71x = 1,564,802.38
  5. Step 5: Solve for x
    x = 1,564,802.38/1,033.71
  6. Step 6: Final answer
    x = 1,513.78

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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.