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Finding the Fourth Proportional to 840.04, 1,156.38 and 728.86

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Solution

The fourth proportional to 840.04, 1,156.38 and 728.86 is: 1,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.04 : 1,156.38 = 728.86 : x
  2. Step 2: Convert to fraction form
    840.04/1,156.38 = 728.86/x
  3. Step 3: Cross multiply
    840.04x = 1,156.38 × 728.86
  4. Step 4: Simplify right side
    840.04x = 842,839.13
  5. Step 5: Solve for x
    x = 842,839.13/840.04
  6. Step 6: Final answer
    x = 1,003.33

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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.