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Finding the Fourth Proportional to 931.44, 1,284.03 and 577.11

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Solution

The fourth proportional to 931.44, 1,284.03 and 577.11 is: 795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.44 : 1,284.03 = 577.11 : x
  2. Step 2: Convert to fraction form
    931.44/1,284.03 = 577.11/x
  3. Step 3: Cross multiply
    931.44x = 1,284.03 × 577.11
  4. Step 4: Simplify right side
    931.44x = 741,026.55
  5. Step 5: Solve for x
    x = 741,026.55/931.44
  6. Step 6: Final answer
    x = 795.57

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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.