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Finding the Fourth Proportional to 1,149.57, 1,715.46 and 1,026.51

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Solution

The fourth proportional to 1,149.57, 1,715.46 and 1,026.51 is: 1,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.57 : 1,715.46 = 1,026.51 : x
  2. Step 2: Convert to fraction form
    1,149.57/1,715.46 = 1,026.51/x
  3. Step 3: Cross multiply
    1,149.57x = 1,715.46 × 1,026.51
  4. Step 4: Simplify right side
    1,149.57x = 1,760,936.84
  5. Step 5: Solve for x
    x = 1,760,936.84/1,149.57
  6. Step 6: Final answer
    x = 1,531.82

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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.