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Finding the Fourth Proportional to 930.42, 1,284.06 and 537.57

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Solution

The fourth proportional to 930.42, 1,284.06 and 537.57 is: 741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,284.06 = 537.57 : x
  2. Step 2: Convert to fraction form
    930.42/1,284.06 = 537.57/x
  3. Step 3: Cross multiply
    930.42x = 1,284.06 × 537.57
  4. Step 4: Simplify right side
    930.42x = 690,272.13
  5. Step 5: Solve for x
    x = 690,272.13/930.42
  6. Step 6: Final answer
    x = 741.89

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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.