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Finding the Fourth Proportional to 1,115.53, 1,672.96 and 335.50

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Solution

The fourth proportional to 1,115.53, 1,672.96 and 335.50 is: 503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.53 : 1,672.96 = 335.50 : x
  2. Step 2: Convert to fraction form
    1,115.53/1,672.96 = 335.50/x
  3. Step 3: Cross multiply
    1,115.53x = 1,672.96 × 335.50
  4. Step 4: Simplify right side
    1,115.53x = 561,278.08
  5. Step 5: Solve for x
    x = 561,278.08/1,115.53
  6. Step 6: Final answer
    x = 503.15

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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.