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Finding the Fourth Proportional to 1,406.35, 2,109.55 and 432.46

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Solution

The fourth proportional to 1,406.35, 2,109.55 and 432.46 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.35 : 2,109.55 = 432.46 : x
  2. Step 2: Convert to fraction form
    1,406.35/2,109.55 = 432.46/x
  3. Step 3: Cross multiply
    1,406.35x = 2,109.55 × 432.46
  4. Step 4: Simplify right side
    1,406.35x = 912,295.99
  5. Step 5: Solve for x
    x = 912,295.99/1,406.35
  6. Step 6: Final answer
    x = 648.70

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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.