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Finding the Fourth Proportional to 930.49, 1,284 and 510.82

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Solution

The fourth proportional to 930.49, 1,284 and 510.82 is: 704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.49 : 1,284 = 510.82 : x
  2. Step 2: Convert to fraction form
    930.49/1,284 = 510.82/x
  3. Step 3: Cross multiply
    930.49x = 1,284 × 510.82
  4. Step 4: Simplify right side
    930.49x = 655,892.88
  5. Step 5: Solve for x
    x = 655,892.88/930.49
  6. Step 6: Final answer
    x = 704.89

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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.