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Finding the Fourth Proportional to 766.19, 1,055.67 and 553.33

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Solution

The fourth proportional to 766.19, 1,055.67 and 553.33 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,055.67 = 553.33 : x
  2. Step 2: Convert to fraction form
    766.19/1,055.67 = 553.33/x
  3. Step 3: Cross multiply
    766.19x = 1,055.67 × 553.33
  4. Step 4: Simplify right side
    766.19x = 584,133.13
  5. Step 5: Solve for x
    x = 584,133.13/766.19
  6. Step 6: Final answer
    x = 762.38

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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.