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Finding the Fourth Proportional to 930.96, 1,284.64 and 538.01

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Solution

The fourth proportional to 930.96, 1,284.64 and 538.01 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,284.64 = 538.01 : x
  2. Step 2: Convert to fraction form
    930.96/1,284.64 = 538.01/x
  3. Step 3: Cross multiply
    930.96x = 1,284.64 × 538.01
  4. Step 4: Simplify right side
    930.96x = 691,149.17
  5. Step 5: Solve for x
    x = 691,149.17/930.96
  6. Step 6: Final answer
    x = 742.40

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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.