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Finding the Fourth Proportional to 1,106.57, 1,659.84 and 337.07

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Solution

The fourth proportional to 1,106.57, 1,659.84 and 337.07 is: 505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.57 : 1,659.84 = 337.07 : x
  2. Step 2: Convert to fraction form
    1,106.57/1,659.84 = 337.07/x
  3. Step 3: Cross multiply
    1,106.57x = 1,659.84 × 337.07
  4. Step 4: Simplify right side
    1,106.57x = 559,482.27
  5. Step 5: Solve for x
    x = 559,482.27/1,106.57
  6. Step 6: Final answer
    x = 505.60

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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.