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Finding the Fourth Proportional to 1,405.91, 2,108.96 and 432.69

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Solution

The fourth proportional to 1,405.91, 2,108.96 and 432.69 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.91 : 2,108.96 = 432.69 : x
  2. Step 2: Convert to fraction form
    1,405.91/2,108.96 = 432.69/x
  3. Step 3: Cross multiply
    1,405.91x = 2,108.96 × 432.69
  4. Step 4: Simplify right side
    1,405.91x = 912,525.90
  5. Step 5: Solve for x
    x = 912,525.90/1,405.91
  6. Step 6: Final answer
    x = 649.06

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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.