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Finding the Fourth Proportional to 930.11, 1,283.43 and 557.01

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Solution

The fourth proportional to 930.11, 1,283.43 and 557.01 is: 768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.11 : 1,283.43 = 557.01 : x
  2. Step 2: Convert to fraction form
    930.11/1,283.43 = 557.01/x
  3. Step 3: Cross multiply
    930.11x = 1,283.43 × 557.01
  4. Step 4: Simplify right side
    930.11x = 714,874.14
  5. Step 5: Solve for x
    x = 714,874.14/930.11
  6. Step 6: Final answer
    x = 768.59

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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.