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Finding the Fourth Proportional to 1,281.45, 1,922.13 and 403.95

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Solution

The fourth proportional to 1,281.45, 1,922.13 and 403.95 is: 605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.45 : 1,922.13 = 403.95 : x
  2. Step 2: Convert to fraction form
    1,281.45/1,922.13 = 403.95/x
  3. Step 3: Cross multiply
    1,281.45x = 1,922.13 × 403.95
  4. Step 4: Simplify right side
    1,281.45x = 776,444.41
  5. Step 5: Solve for x
    x = 776,444.41/1,281.45
  6. Step 6: Final answer
    x = 605.91

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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.