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Finding the Fourth Proportional to 1,055.16, 1,456.80 and 723.48

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Solution

The fourth proportional to 1,055.16, 1,456.80 and 723.48 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.16 : 1,456.80 = 723.48 : x
  2. Step 2: Convert to fraction form
    1,055.16/1,456.80 = 723.48/x
  3. Step 3: Cross multiply
    1,055.16x = 1,456.80 × 723.48
  4. Step 4: Simplify right side
    1,055.16x = 1,053,965.66
  5. Step 5: Solve for x
    x = 1,053,965.66/1,055.16
  6. Step 6: Final answer
    x = 998.87

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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.