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Finding the Fourth Proportional to 930.88, 1,284.18 and 537.76

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Solution

The fourth proportional to 930.88, 1,284.18 and 537.76 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.88 : 1,284.18 = 537.76 : x
  2. Step 2: Convert to fraction form
    930.88/1,284.18 = 537.76/x
  3. Step 3: Cross multiply
    930.88x = 1,284.18 × 537.76
  4. Step 4: Simplify right side
    930.88x = 690,580.64
  5. Step 5: Solve for x
    x = 690,580.64/930.88
  6. Step 6: Final answer
    x = 741.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.