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Finding the Fourth Proportional to 703.71, 967.82 and 616.23

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Solution

The fourth proportional to 703.71, 967.82 and 616.23 is: 847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.71 : 967.82 = 616.23 : x
  2. Step 2: Convert to fraction form
    703.71/967.82 = 616.23/x
  3. Step 3: Cross multiply
    703.71x = 967.82 × 616.23
  4. Step 4: Simplify right side
    703.71x = 596,396.64
  5. Step 5: Solve for x
    x = 596,396.64/703.71
  6. Step 6: Final answer
    x = 847.50

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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.