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Finding the Fourth Proportional to 780.82, 1,077.98 and 486.48

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Solution

The fourth proportional to 780.82, 1,077.98 and 486.48 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,077.98 = 486.48 : x
  2. Step 2: Convert to fraction form
    780.82/1,077.98 = 486.48/x
  3. Step 3: Cross multiply
    780.82x = 1,077.98 × 486.48
  4. Step 4: Simplify right side
    780.82x = 524,415.71
  5. Step 5: Solve for x
    x = 524,415.71/780.82
  6. Step 6: Final answer
    x = 671.62

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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.