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Finding the Fourth Proportional to 923.70, 1,384.11 and 580.98

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Solution

The fourth proportional to 923.70, 1,384.11 and 580.98 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,384.11 = 580.98 : x
  2. Step 2: Convert to fraction form
    923.70/1,384.11 = 580.98/x
  3. Step 3: Cross multiply
    923.70x = 1,384.11 × 580.98
  4. Step 4: Simplify right side
    923.70x = 804,140.23
  5. Step 5: Solve for x
    x = 804,140.23/923.70
  6. Step 6: Final answer
    x = 870.56

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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.