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Finding the Fourth Proportional to 1,269.57, 1,904.91 and 807.23

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Solution

The fourth proportional to 1,269.57, 1,904.91 and 807.23 is: 1,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.57 : 1,904.91 = 807.23 : x
  2. Step 2: Convert to fraction form
    1,269.57/1,904.91 = 807.23/x
  3. Step 3: Cross multiply
    1,269.57x = 1,904.91 × 807.23
  4. Step 4: Simplify right side
    1,269.57x = 1,537,690.97
  5. Step 5: Solve for x
    x = 1,537,690.97/1,269.57
  6. Step 6: Final answer
    x = 1,211.19

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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.