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Finding the Fourth Proportional to 953.08, 1,426.92 and 745.72

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Solution

The fourth proportional to 953.08, 1,426.92 and 745.72 is: 1,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.08 : 1,426.92 = 745.72 : x
  2. Step 2: Convert to fraction form
    953.08/1,426.92 = 745.72/x
  3. Step 3: Cross multiply
    953.08x = 1,426.92 × 745.72
  4. Step 4: Simplify right side
    953.08x = 1,064,082.78
  5. Step 5: Solve for x
    x = 1,064,082.78/953.08
  6. Step 6: Final answer
    x = 1,116.47

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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.