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Finding the Fourth Proportional to 1,605.40, 2,408.10 and 784.20

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Solution

The fourth proportional to 1,605.40, 2,408.10 and 784.20 is: 1,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.40 : 2,408.10 = 784.20 : x
  2. Step 2: Convert to fraction form
    1,605.40/2,408.10 = 784.20/x
  3. Step 3: Cross multiply
    1,605.40x = 2,408.10 × 784.20
  4. Step 4: Simplify right side
    1,605.40x = 1,888,432.02
  5. Step 5: Solve for x
    x = 1,888,432.02/1,605.40
  6. Step 6: Final answer
    x = 1,176.30

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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.