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Finding the Fourth Proportional to 1,043.54, 1,565.27 and 263.54

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Solution

The fourth proportional to 1,043.54, 1,565.27 and 263.54 is: 395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.54 : 1,565.27 = 263.54 : x
  2. Step 2: Convert to fraction form
    1,043.54/1,565.27 = 263.54/x
  3. Step 3: Cross multiply
    1,043.54x = 1,565.27 × 263.54
  4. Step 4: Simplify right side
    1,043.54x = 412,511.26
  5. Step 5: Solve for x
    x = 412,511.26/1,043.54
  6. Step 6: Final answer
    x = 395.30

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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.