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Finding the Fourth Proportional to 976.68, 1,347.66 and 578.16

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Solution

The fourth proportional to 976.68, 1,347.66 and 578.16 is: 797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,347.66 = 578.16 : x
  2. Step 2: Convert to fraction form
    976.68/1,347.66 = 578.16/x
  3. Step 3: Cross multiply
    976.68x = 1,347.66 × 578.16
  4. Step 4: Simplify right side
    976.68x = 779,163.11
  5. Step 5: Solve for x
    x = 779,163.11/976.68
  6. Step 6: Final answer
    x = 797.77

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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.