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Finding the Fourth Proportional to 1,009.18, 1,510.83 and 766.66

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Solution

The fourth proportional to 1,009.18, 1,510.83 and 766.66 is: 1,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.18 : 1,510.83 = 766.66 : x
  2. Step 2: Convert to fraction form
    1,009.18/1,510.83 = 766.66/x
  3. Step 3: Cross multiply
    1,009.18x = 1,510.83 × 766.66
  4. Step 4: Simplify right side
    1,009.18x = 1,158,292.93
  5. Step 5: Solve for x
    x = 1,158,292.93/1,009.18
  6. Step 6: Final answer
    x = 1,147.76

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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.