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Finding the Fourth Proportional to 1,106.90, 1,660.76 and 376.46

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Solution

The fourth proportional to 1,106.90, 1,660.76 and 376.46 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.90 : 1,660.76 = 376.46 : x
  2. Step 2: Convert to fraction form
    1,106.90/1,660.76 = 376.46/x
  3. Step 3: Cross multiply
    1,106.90x = 1,660.76 × 376.46
  4. Step 4: Simplify right side
    1,106.90x = 625,209.71
  5. Step 5: Solve for x
    x = 625,209.71/1,106.90
  6. Step 6: Final answer
    x = 564.83

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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.