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Finding the Fourth Proportional to 930.39, 1,283.87 and 510.74

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Solution

The fourth proportional to 930.39, 1,283.87 and 510.74 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.39 : 1,283.87 = 510.74 : x
  2. Step 2: Convert to fraction form
    930.39/1,283.87 = 510.74/x
  3. Step 3: Cross multiply
    930.39x = 1,283.87 × 510.74
  4. Step 4: Simplify right side
    930.39x = 655,714.79
  5. Step 5: Solve for x
    x = 655,714.79/930.39
  6. Step 6: Final answer
    x = 704.77

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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.