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Finding the Fourth Proportional to 677.78, 1,015.10 and 494.72

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Solution

The fourth proportional to 677.78, 1,015.10 and 494.72 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.78 : 1,015.10 = 494.72 : x
  2. Step 2: Convert to fraction form
    677.78/1,015.10 = 494.72/x
  3. Step 3: Cross multiply
    677.78x = 1,015.10 × 494.72
  4. Step 4: Simplify right side
    677.78x = 502,190.34
  5. Step 5: Solve for x
    x = 502,190.34/677.78
  6. Step 6: Final answer
    x = 740.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.