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Finding the Fourth Proportional to 930.27, 1,283.70 and 510.61

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Solution

The fourth proportional to 930.27, 1,283.70 and 510.61 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.27 : 1,283.70 = 510.61 : x
  2. Step 2: Convert to fraction form
    930.27/1,283.70 = 510.61/x
  3. Step 3: Cross multiply
    930.27x = 1,283.70 × 510.61
  4. Step 4: Simplify right side
    930.27x = 655,467.50
  5. Step 5: Solve for x
    x = 655,467.50/930.27
  6. Step 6: Final answer
    x = 704.60

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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.