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Finding the Fourth Proportional to 1,113.65, 1,670.17 and 333.62

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Solution

The fourth proportional to 1,113.65, 1,670.17 and 333.62 is: 500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.65 : 1,670.17 = 333.62 : x
  2. Step 2: Convert to fraction form
    1,113.65/1,670.17 = 333.62/x
  3. Step 3: Cross multiply
    1,113.65x = 1,670.17 × 333.62
  4. Step 4: Simplify right side
    1,113.65x = 557,202.12
  5. Step 5: Solve for x
    x = 557,202.12/1,113.65
  6. Step 6: Final answer
    x = 500.34

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Double scale
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1.5x scale

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.