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Finding the Fourth Proportional to 1,205.40, 1,808.16 and 339.78

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Solution

The fourth proportional to 1,205.40, 1,808.16 and 339.78 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,808.16 = 339.78 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,808.16 = 339.78/x
  3. Step 3: Cross multiply
    1,205.40x = 1,808.16 × 339.78
  4. Step 4: Simplify right side
    1,205.40x = 614,376.60
  5. Step 5: Solve for x
    x = 614,376.60/1,205.40
  6. Step 6: Final answer
    x = 509.69

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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.