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Finding the Fourth Proportional to 923.70, 1,381.23 and 647.85

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Solution

The fourth proportional to 923.70, 1,381.23 and 647.85 is: 968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,381.23 = 647.85 : x
  2. Step 2: Convert to fraction form
    923.70/1,381.23 = 647.85/x
  3. Step 3: Cross multiply
    923.70x = 1,381.23 × 647.85
  4. Step 4: Simplify right side
    923.70x = 894,829.86
  5. Step 5: Solve for x
    x = 894,829.86/923.70
  6. Step 6: Final answer
    x = 968.75

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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.