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Finding the Fourth Proportional to 864.07, 1,190.70 and 614.95

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Solution

The fourth proportional to 864.07, 1,190.70 and 614.95 is: 847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,190.70 = 614.95 : x
  2. Step 2: Convert to fraction form
    864.07/1,190.70 = 614.95/x
  3. Step 3: Cross multiply
    864.07x = 1,190.70 × 614.95
  4. Step 4: Simplify right side
    864.07x = 732,220.97
  5. Step 5: Solve for x
    x = 732,220.97/864.07
  6. Step 6: Final answer
    x = 847.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.