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Finding the Fourth Proportional to 1,061.54, 1,464.44 and 641.92

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Solution

The fourth proportional to 1,061.54, 1,464.44 and 641.92 is: 885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.54 : 1,464.44 = 641.92 : x
  2. Step 2: Convert to fraction form
    1,061.54/1,464.44 = 641.92/x
  3. Step 3: Cross multiply
    1,061.54x = 1,464.44 × 641.92
  4. Step 4: Simplify right side
    1,061.54x = 940,053.32
  5. Step 5: Solve for x
    x = 940,053.32/1,061.54
  6. Step 6: Final answer
    x = 885.56

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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.