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Finding the Fourth Proportional to 1,666.31, 2,499.44 and 433.69

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Solution

The fourth proportional to 1,666.31, 2,499.44 and 433.69 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.31 : 2,499.44 = 433.69 : x
  2. Step 2: Convert to fraction form
    1,666.31/2,499.44 = 433.69/x
  3. Step 3: Cross multiply
    1,666.31x = 2,499.44 × 433.69
  4. Step 4: Simplify right side
    1,666.31x = 1,083,982.13
  5. Step 5: Solve for x
    x = 1,083,982.13/1,666.31
  6. Step 6: Final answer
    x = 650.53

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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.