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Finding the Fourth Proportional to 1,343.34, 1,854.63 and 1,064.70

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Solution

The fourth proportional to 1,343.34, 1,854.63 and 1,064.70 is: 1,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.34 : 1,854.63 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    1,343.34/1,854.63 = 1,064.70/x
  3. Step 3: Cross multiply
    1,343.34x = 1,854.63 × 1,064.70
  4. Step 4: Simplify right side
    1,343.34x = 1,974,624.56
  5. Step 5: Solve for x
    x = 1,974,624.56/1,343.34
  6. Step 6: Final answer
    x = 1,469.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.