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Finding the Fourth Proportional to 931.41, 1,284.17 and 782.60

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Solution

The fourth proportional to 931.41, 1,284.17 and 782.60 is: 1,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.41 : 1,284.17 = 782.60 : x
  2. Step 2: Convert to fraction form
    931.41/1,284.17 = 782.60/x
  3. Step 3: Cross multiply
    931.41x = 1,284.17 × 782.60
  4. Step 4: Simplify right side
    931.41x = 1,004,981.11
  5. Step 5: Solve for x
    x = 1,004,981.11/931.41
  6. Step 6: Final answer
    x = 1,078.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.