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Finding the Fourth Proportional to 1,456.07, 2,009.36 and 792.91

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Solution

The fourth proportional to 1,456.07, 2,009.36 and 792.91 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.07 : 2,009.36 = 792.91 : x
  2. Step 2: Convert to fraction form
    1,456.07/2,009.36 = 792.91/x
  3. Step 3: Cross multiply
    1,456.07x = 2,009.36 × 792.91
  4. Step 4: Simplify right side
    1,456.07x = 1,593,234.83
  5. Step 5: Solve for x
    x = 1,593,234.83/1,456.07
  6. Step 6: Final answer
    x = 1,094.21

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