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Finding the Fourth Proportional to 930.11, 1,283.54 and 537.12

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Solution

The fourth proportional to 930.11, 1,283.54 and 537.12 is: 741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.11 : 1,283.54 = 537.12 : x
  2. Step 2: Convert to fraction form
    930.11/1,283.54 = 537.12/x
  3. Step 3: Cross multiply
    930.11x = 1,283.54 × 537.12
  4. Step 4: Simplify right side
    930.11x = 689,412.32
  5. Step 5: Solve for x
    x = 689,412.32/930.11
  6. Step 6: Final answer
    x = 741.22

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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.