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Finding the Fourth Proportional to 711.36, 1,068.66 and 614.16

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Solution

The fourth proportional to 711.36, 1,068.66 and 614.16 is: 922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 1,068.66 = 614.16 : x
  2. Step 2: Convert to fraction form
    711.36/1,068.66 = 614.16/x
  3. Step 3: Cross multiply
    711.36x = 1,068.66 × 614.16
  4. Step 4: Simplify right side
    711.36x = 656,328.23
  5. Step 5: Solve for x
    x = 656,328.23/711.36
  6. Step 6: Final answer
    x = 922.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.