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Finding the Fourth Proportional to 1,106.65, 1,659.97 and 337.15

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Solution

The fourth proportional to 1,106.65, 1,659.97 and 337.15 is: 505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.65 : 1,659.97 = 337.15 : x
  2. Step 2: Convert to fraction form
    1,106.65/1,659.97 = 337.15/x
  3. Step 3: Cross multiply
    1,106.65x = 1,659.97 × 337.15
  4. Step 4: Simplify right side
    1,106.65x = 559,657.19
  5. Step 5: Solve for x
    x = 559,657.19/1,106.65
  6. Step 6: Final answer
    x = 505.72

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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.