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Finding the Fourth Proportional to 1,010.57, 1,510.10 and 758.76

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Solution

The fourth proportional to 1,010.57, 1,510.10 and 758.76 is: 1,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.57 : 1,510.10 = 758.76 : x
  2. Step 2: Convert to fraction form
    1,010.57/1,510.10 = 758.76/x
  3. Step 3: Cross multiply
    1,010.57x = 1,510.10 × 758.76
  4. Step 4: Simplify right side
    1,010.57x = 1,145,799.68
  5. Step 5: Solve for x
    x = 1,145,799.68/1,010.57
  6. Step 6: Final answer
    x = 1,133.82

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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.