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Finding the Fourth Proportional to 776.93, 1,071.74 and 482.14

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Solution

The fourth proportional to 776.93, 1,071.74 and 482.14 is: 665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.93 : 1,071.74 = 482.14 : x
  2. Step 2: Convert to fraction form
    776.93/1,071.74 = 482.14/x
  3. Step 3: Cross multiply
    776.93x = 1,071.74 × 482.14
  4. Step 4: Simplify right side
    776.93x = 516,720.95
  5. Step 5: Solve for x
    x = 516,720.95/776.93
  6. Step 6: Final answer
    x = 665.08

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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.