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Finding the Fourth Proportional to 930.22, 1,283.75 and 510.59

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Solution

The fourth proportional to 930.22, 1,283.75 and 510.59 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.22 : 1,283.75 = 510.59 : x
  2. Step 2: Convert to fraction form
    930.22/1,283.75 = 510.59/x
  3. Step 3: Cross multiply
    930.22x = 1,283.75 × 510.59
  4. Step 4: Simplify right side
    930.22x = 655,469.91
  5. Step 5: Solve for x
    x = 655,469.91/930.22
  6. Step 6: Final answer
    x = 704.64

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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.