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Finding the Fourth Proportional to 1,456, 2,009.29 and 792.85

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Solution

The fourth proportional to 1,456, 2,009.29 and 792.85 is: 1,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456 : 2,009.29 = 792.85 : x
  2. Step 2: Convert to fraction form
    1,456/2,009.29 = 792.85/x
  3. Step 3: Cross multiply
    1,456x = 2,009.29 × 792.85
  4. Step 4: Simplify right side
    1,456x = 1,593,065.58
  5. Step 5: Solve for x
    x = 1,593,065.58/1,456
  6. Step 6: Final answer
    x = 1,094.14

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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.