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Finding the Fourth Proportional to 930.49, 1,284.03 and 532.14

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Solution

The fourth proportional to 930.49, 1,284.03 and 532.14 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.49 : 1,284.03 = 532.14 : x
  2. Step 2: Convert to fraction form
    930.49/1,284.03 = 532.14/x
  3. Step 3: Cross multiply
    930.49x = 1,284.03 × 532.14
  4. Step 4: Simplify right side
    930.49x = 683,283.72
  5. Step 5: Solve for x
    x = 683,283.72/930.49
  6. Step 6: Final answer
    x = 734.33

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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.