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Finding the Fourth Proportional to 1,106.47, 1,659.07 and 644.77

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Solution

The fourth proportional to 1,106.47, 1,659.07 and 644.77 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.47 : 1,659.07 = 644.77 : x
  2. Step 2: Convert to fraction form
    1,106.47/1,659.07 = 644.77/x
  3. Step 3: Cross multiply
    1,106.47x = 1,659.07 × 644.77
  4. Step 4: Simplify right side
    1,106.47x = 1,069,718.56
  5. Step 5: Solve for x
    x = 1,069,718.56/1,106.47
  6. Step 6: Final answer
    x = 966.78

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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.