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Finding the Fourth Proportional to 1,456.40, 2,009.84 and 793.26

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Solution

The fourth proportional to 1,456.40, 2,009.84 and 793.26 is: 1,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.40 : 2,009.84 = 793.26 : x
  2. Step 2: Convert to fraction form
    1,456.40/2,009.84 = 793.26/x
  3. Step 3: Cross multiply
    1,456.40x = 2,009.84 × 793.26
  4. Step 4: Simplify right side
    1,456.40x = 1,594,315.63
  5. Step 5: Solve for x
    x = 1,594,315.63/1,456.40
  6. Step 6: Final answer
    x = 1,094.70

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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.