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Finding the Fourth Proportional to 773.98, 1,066.08 and 552.52

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Solution

The fourth proportional to 773.98, 1,066.08 and 552.52 is: 761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.98 : 1,066.08 = 552.52 : x
  2. Step 2: Convert to fraction form
    773.98/1,066.08 = 552.52/x
  3. Step 3: Cross multiply
    773.98x = 1,066.08 × 552.52
  4. Step 4: Simplify right side
    773.98x = 589,030.52
  5. Step 5: Solve for x
    x = 589,030.52/773.98
  6. Step 6: Final answer
    x = 761.04

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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.