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Finding the Fourth Proportional to 1,456.48, 2,009.93 and 793.33

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Solution

The fourth proportional to 1,456.48, 2,009.93 and 793.33 is: 1,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.48 : 2,009.93 = 793.33 : x
  2. Step 2: Convert to fraction form
    1,456.48/2,009.93 = 793.33/x
  3. Step 3: Cross multiply
    1,456.48x = 2,009.93 × 793.33
  4. Step 4: Simplify right side
    1,456.48x = 1,594,533.24
  5. Step 5: Solve for x
    x = 1,594,533.24/1,456.48
  6. Step 6: Final answer
    x = 1,094.78

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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.