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Finding the Fourth Proportional to 931.54, 1,284.78 and 826.70

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Solution

The fourth proportional to 931.54, 1,284.78 and 826.70 is: 1,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.54 : 1,284.78 = 826.70 : x
  2. Step 2: Convert to fraction form
    931.54/1,284.78 = 826.70/x
  3. Step 3: Cross multiply
    931.54x = 1,284.78 × 826.70
  4. Step 4: Simplify right side
    931.54x = 1,062,127.63
  5. Step 5: Solve for x
    x = 1,062,127.63/931.54
  6. Step 6: Final answer
    x = 1,140.18

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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.