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Finding the Fourth Proportional to 1,405.91, 2,108.87 and 432.01

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Solution

The fourth proportional to 1,405.91, 2,108.87 and 432.01 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.91 : 2,108.87 = 432.01 : x
  2. Step 2: Convert to fraction form
    1,405.91/2,108.87 = 432.01/x
  3. Step 3: Cross multiply
    1,405.91x = 2,108.87 × 432.01
  4. Step 4: Simplify right side
    1,405.91x = 911,058.53
  5. Step 5: Solve for x
    x = 911,058.53/1,405.91
  6. Step 6: Final answer
    x = 648.02

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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.