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Finding the Fourth Proportional to 1,406.58, 2,109.69 and 432.60

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Solution

The fourth proportional to 1,406.58, 2,109.69 and 432.60 is: 648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.58 : 2,109.69 = 432.60 : x
  2. Step 2: Convert to fraction form
    1,406.58/2,109.69 = 432.60/x
  3. Step 3: Cross multiply
    1,406.58x = 2,109.69 × 432.60
  4. Step 4: Simplify right side
    1,406.58x = 912,649.73
  5. Step 5: Solve for x
    x = 912,649.73/1,406.58
  6. Step 6: Final answer
    x = 648.84

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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.