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Finding the Fourth Proportional to 1,264.72, 1,896.37 and 524.13

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Solution

The fourth proportional to 1,264.72, 1,896.37 and 524.13 is: 785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.72 : 1,896.37 = 524.13 : x
  2. Step 2: Convert to fraction form
    1,264.72/1,896.37 = 524.13/x
  3. Step 3: Cross multiply
    1,264.72x = 1,896.37 × 524.13
  4. Step 4: Simplify right side
    1,264.72x = 993,937.95
  5. Step 5: Solve for x
    x = 993,937.95/1,264.72
  6. Step 6: Final answer
    x = 785.90

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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.