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Finding the Fourth Proportional to 1,406.91, 2,110.37 and 433.02

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Solution

The fourth proportional to 1,406.91, 2,110.37 and 433.02 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.91 : 2,110.37 = 433.02 : x
  2. Step 2: Convert to fraction form
    1,406.91/2,110.37 = 433.02/x
  3. Step 3: Cross multiply
    1,406.91x = 2,110.37 × 433.02
  4. Step 4: Simplify right side
    1,406.91x = 913,819.70
  5. Step 5: Solve for x
    x = 913,819.70/1,406.91
  6. Step 6: Final answer
    x = 649.52

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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.