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Finding the Fourth Proportional to 930.22, 1,283.76 and 614.93

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Solution

The fourth proportional to 930.22, 1,283.76 and 614.93 is: 848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.22 : 1,283.76 = 614.93 : x
  2. Step 2: Convert to fraction form
    930.22/1,283.76 = 614.93/x
  3. Step 3: Cross multiply
    930.22x = 1,283.76 × 614.93
  4. Step 4: Simplify right side
    930.22x = 789,426.46
  5. Step 5: Solve for x
    x = 789,426.46/930.22
  6. Step 6: Final answer
    x = 848.65

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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.