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Finding the Fourth Proportional to 1,269.11, 1,904.00 and 391.59

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Solution

The fourth proportional to 1,269.11, 1,904.00 and 391.59 is: 587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.11 : 1,904.00 = 391.59 : x
  2. Step 2: Convert to fraction form
    1,269.11/1,904.00 = 391.59/x
  3. Step 3: Cross multiply
    1,269.11x = 1,904.00 × 391.59
  4. Step 4: Simplify right side
    1,269.11x = 745,585.40
  5. Step 5: Solve for x
    x = 745,585.40/1,269.11
  6. Step 6: Final answer
    x = 587.49

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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.