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Finding the Fourth Proportional to 1,406.74, 2,110.23 and 432.84

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Solution

The fourth proportional to 1,406.74, 2,110.23 and 432.84 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.74 : 2,110.23 = 432.84 : x
  2. Step 2: Convert to fraction form
    1,406.74/2,110.23 = 432.84/x
  3. Step 3: Cross multiply
    1,406.74x = 2,110.23 × 432.84
  4. Step 4: Simplify right side
    1,406.74x = 913,398.65
  5. Step 5: Solve for x
    x = 913,398.65/1,406.74
  6. Step 6: Final answer
    x = 649.30

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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.