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Finding the Fourth Proportional to 930.96, 1,284.92 and 538.20

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Solution

The fourth proportional to 930.96, 1,284.92 and 538.20 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,284.92 = 538.20 : x
  2. Step 2: Convert to fraction form
    930.96/1,284.92 = 538.20/x
  3. Step 3: Cross multiply
    930.96x = 1,284.92 × 538.20
  4. Step 4: Simplify right side
    930.96x = 691,541.25
  5. Step 5: Solve for x
    x = 691,541.25/930.96
  6. Step 6: Final answer
    x = 742.83

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1.5x scale

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.