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Finding the Fourth Proportional to 1,064.29, 1,468.72 and 745.73

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Solution

The fourth proportional to 1,064.29, 1,468.72 and 745.73 is: 1,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.29 : 1,468.72 = 745.73 : x
  2. Step 2: Convert to fraction form
    1,064.29/1,468.72 = 745.73/x
  3. Step 3: Cross multiply
    1,064.29x = 1,468.72 × 745.73
  4. Step 4: Simplify right side
    1,064.29x = 1,095,257.49
  5. Step 5: Solve for x
    x = 1,095,257.49/1,064.29
  6. Step 6: Final answer
    x = 1,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.