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Finding the Fourth Proportional to 1,107.60, 1,661.35 and 377.18

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Solution

The fourth proportional to 1,107.60, 1,661.35 and 377.18 is: 565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.60 : 1,661.35 = 377.18 : x
  2. Step 2: Convert to fraction form
    1,107.60/1,661.35 = 377.18/x
  3. Step 3: Cross multiply
    1,107.60x = 1,661.35 × 377.18
  4. Step 4: Simplify right side
    1,107.60x = 626,626.11
  5. Step 5: Solve for x
    x = 626,626.11/1,107.60
  6. Step 6: Final answer
    x = 565.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.