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Finding the Fourth Proportional to 1,406.59, 2,110.20 and 432.79

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Solution

The fourth proportional to 1,406.59, 2,110.20 and 432.79 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.59 : 2,110.20 = 432.79 : x
  2. Step 2: Convert to fraction form
    1,406.59/2,110.20 = 432.79/x
  3. Step 3: Cross multiply
    1,406.59x = 2,110.20 × 432.79
  4. Step 4: Simplify right side
    1,406.59x = 913,273.46
  5. Step 5: Solve for x
    x = 913,273.46/1,406.59
  6. Step 6: Final answer
    x = 649.28

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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.