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Finding the Fourth Proportional to 930.50, 1,284.12 and 581

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Solution

The fourth proportional to 930.50, 1,284.12 and 581 is: 801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.50 : 1,284.12 = 581 : x
  2. Step 2: Convert to fraction form
    930.50/1,284.12 = 581/x
  3. Step 3: Cross multiply
    930.50x = 1,284.12 × 581
  4. Step 4: Simplify right side
    930.50x = 746,073.72
  5. Step 5: Solve for x
    x = 746,073.72/930.50
  6. Step 6: Final answer
    x = 801.80

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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.