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Finding the Fourth Proportional to 930.13, 1,283.53 and 510.41

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Solution

The fourth proportional to 930.13, 1,283.53 and 510.41 is: 704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.13 : 1,283.53 = 510.41 : x
  2. Step 2: Convert to fraction form
    930.13/1,283.53 = 510.41/x
  3. Step 3: Cross multiply
    930.13x = 1,283.53 × 510.41
  4. Step 4: Simplify right side
    930.13x = 655,126.55
  5. Step 5: Solve for x
    x = 655,126.55/930.13
  6. Step 6: Final answer
    x = 704.34

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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.