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Finding the Fourth Proportional to 1,064.89, 1,593.32 and 956.98

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Solution

The fourth proportional to 1,064.89, 1,593.32 and 956.98 is: 1,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.89 : 1,593.32 = 956.98 : x
  2. Step 2: Convert to fraction form
    1,064.89/1,593.32 = 956.98/x
  3. Step 3: Cross multiply
    1,064.89x = 1,593.32 × 956.98
  4. Step 4: Simplify right side
    1,064.89x = 1,524,775.37
  5. Step 5: Solve for x
    x = 1,524,775.37/1,064.89
  6. Step 6: Final answer
    x = 1,431.86

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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.