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Finding the Fourth Proportional to 866.55, 1,194.36 and 582.46

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Solution

The fourth proportional to 866.55, 1,194.36 and 582.46 is: 802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.55 : 1,194.36 = 582.46 : x
  2. Step 2: Convert to fraction form
    866.55/1,194.36 = 582.46/x
  3. Step 3: Cross multiply
    866.55x = 1,194.36 × 582.46
  4. Step 4: Simplify right side
    866.55x = 695,666.93
  5. Step 5: Solve for x
    x = 695,666.93/866.55
  6. Step 6: Final answer
    x = 802.80

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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.