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Finding the Fourth Proportional to 923.64, 1,382.80 and 858.77

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Solution

The fourth proportional to 923.64, 1,382.80 and 858.77 is: 1,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.64 : 1,382.80 = 858.77 : x
  2. Step 2: Convert to fraction form
    923.64/1,382.80 = 858.77/x
  3. Step 3: Cross multiply
    923.64x = 1,382.80 × 858.77
  4. Step 4: Simplify right side
    923.64x = 1,187,495.95
  5. Step 5: Solve for x
    x = 1,187,495.95/923.64
  6. Step 6: Final answer
    x = 1,285.67

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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.