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Finding the Fourth Proportional to 931.08, 1,284.84 and 557.84

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Solution

The fourth proportional to 931.08, 1,284.84 and 557.84 is: 769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.08 : 1,284.84 = 557.84 : x
  2. Step 2: Convert to fraction form
    931.08/1,284.84 = 557.84/x
  3. Step 3: Cross multiply
    931.08x = 1,284.84 × 557.84
  4. Step 4: Simplify right side
    931.08x = 716,735.15
  5. Step 5: Solve for x
    x = 716,735.15/931.08
  6. Step 6: Final answer
    x = 769.79

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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.