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Finding the Fourth Proportional to 923.94, 1,387.12 and 847.53

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Solution

The fourth proportional to 923.94, 1,387.12 and 847.53 is: 1,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,387.12 = 847.53 : x
  2. Step 2: Convert to fraction form
    923.94/1,387.12 = 847.53/x
  3. Step 3: Cross multiply
    923.94x = 1,387.12 × 847.53
  4. Step 4: Simplify right side
    923.94x = 1,175,614.64
  5. Step 5: Solve for x
    x = 1,175,614.64/923.94
  6. Step 6: Final answer
    x = 1,272.40

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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.