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Finding the Fourth Proportional to 1,269.57, 1,904.95 and 538.75

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Solution

The fourth proportional to 1,269.57, 1,904.95 and 538.75 is: 808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.57 : 1,904.95 = 538.75 : x
  2. Step 2: Convert to fraction form
    1,269.57/1,904.95 = 538.75/x
  3. Step 3: Cross multiply
    1,269.57x = 1,904.95 × 538.75
  4. Step 4: Simplify right side
    1,269.57x = 1,026,294.87
  5. Step 5: Solve for x
    x = 1,026,294.87/1,269.57
  6. Step 6: Final answer
    x = 808.38

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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.