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Finding the Fourth Proportional to 797.18, 1,100.70 and 587.66

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Solution

The fourth proportional to 797.18, 1,100.70 and 587.66 is: 811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.18 : 1,100.70 = 587.66 : x
  2. Step 2: Convert to fraction form
    797.18/1,100.70 = 587.66/x
  3. Step 3: Cross multiply
    797.18x = 1,100.70 × 587.66
  4. Step 4: Simplify right side
    797.18x = 646,831.86
  5. Step 5: Solve for x
    x = 646,831.86/797.18
  6. Step 6: Final answer
    x = 811.41

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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.