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Finding the Fourth Proportional to 1,281.06, 1,921.98 and 403.52

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Solution

The fourth proportional to 1,281.06, 1,921.98 and 403.52 is: 605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.06 : 1,921.98 = 403.52 : x
  2. Step 2: Convert to fraction form
    1,281.06/1,921.98 = 403.52/x
  3. Step 3: Cross multiply
    1,281.06x = 1,921.98 × 403.52
  4. Step 4: Simplify right side
    1,281.06x = 775,557.37
  5. Step 5: Solve for x
    x = 775,557.37/1,281.06
  6. Step 6: Final answer
    x = 605.40

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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.