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Finding the Fourth Proportional to 1,055.72, 1,456.91 and 577.20

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Solution

The fourth proportional to 1,055.72, 1,456.91 and 577.20 is: 796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.72 : 1,456.91 = 577.20 : x
  2. Step 2: Convert to fraction form
    1,055.72/1,456.91 = 577.20/x
  3. Step 3: Cross multiply
    1,055.72x = 1,456.91 × 577.20
  4. Step 4: Simplify right side
    1,055.72x = 840,929.90
  5. Step 5: Solve for x
    x = 840,929.90/1,055.72
  6. Step 6: Final answer
    x = 796.55

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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.