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Finding the Fourth Proportional to 1,018.71, 1,406.61 and 664.74

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Solution

The fourth proportional to 1,018.71, 1,406.61 and 664.74 is: 917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.71 : 1,406.61 = 664.74 : x
  2. Step 2: Convert to fraction form
    1,018.71/1,406.61 = 664.74/x
  3. Step 3: Cross multiply
    1,018.71x = 1,406.61 × 664.74
  4. Step 4: Simplify right side
    1,018.71x = 935,029.93
  5. Step 5: Solve for x
    x = 935,029.93/1,018.71
  6. Step 6: Final answer
    x = 917.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.