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Finding the Fourth Proportional to 1,269.66, 1,904.62 and 403.76

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Solution

The fourth proportional to 1,269.66, 1,904.62 and 403.76 is: 605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.66 : 1,904.62 = 403.76 : x
  2. Step 2: Convert to fraction form
    1,269.66/1,904.62 = 403.76/x
  3. Step 3: Cross multiply
    1,269.66x = 1,904.62 × 403.76
  4. Step 4: Simplify right side
    1,269.66x = 769,009.37
  5. Step 5: Solve for x
    x = 769,009.37/1,269.66
  6. Step 6: Final answer
    x = 605.68

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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.