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Finding the Fourth Proportional to 931.10, 1,284.74 and 599.46

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Solution

The fourth proportional to 931.10, 1,284.74 and 599.46 is: 827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.10 : 1,284.74 = 599.46 : x
  2. Step 2: Convert to fraction form
    931.10/1,284.74 = 599.46/x
  3. Step 3: Cross multiply
    931.10x = 1,284.74 × 599.46
  4. Step 4: Simplify right side
    931.10x = 770,150.24
  5. Step 5: Solve for x
    x = 770,150.24/931.10
  6. Step 6: Final answer
    x = 827.14

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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.