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Finding the Fourth Proportional to 1,054.74, 1,456.02 and 662.34

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Solution

The fourth proportional to 1,054.74, 1,456.02 and 662.34 is: 914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.74 : 1,456.02 = 662.34 : x
  2. Step 2: Convert to fraction form
    1,054.74/1,456.02 = 662.34/x
  3. Step 3: Cross multiply
    1,054.74x = 1,456.02 × 662.34
  4. Step 4: Simplify right side
    1,054.74x = 964,380.29
  5. Step 5: Solve for x
    x = 964,380.29/1,054.74
  6. Step 6: Final answer
    x = 914.33

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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.