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Finding the Fourth Proportional to 1,113.78, 1,670.35 and 333.75

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Solution

The fourth proportional to 1,113.78, 1,670.35 and 333.75 is: 500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.78 : 1,670.35 = 333.75 : x
  2. Step 2: Convert to fraction form
    1,113.78/1,670.35 = 333.75/x
  3. Step 3: Cross multiply
    1,113.78x = 1,670.35 × 333.75
  4. Step 4: Simplify right side
    1,113.78x = 557,482.65
  5. Step 5: Solve for x
    x = 557,482.65/1,113.78
  6. Step 6: Final answer
    x = 500.53

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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.