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Finding the Fourth Proportional to 895.46, 1,343.49 and 375.70

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Solution

The fourth proportional to 895.46, 1,343.49 and 375.70 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.46 : 1,343.49 = 375.70 : x
  2. Step 2: Convert to fraction form
    895.46/1,343.49 = 375.70/x
  3. Step 3: Cross multiply
    895.46x = 1,343.49 × 375.70
  4. Step 4: Simplify right side
    895.46x = 504,749.19
  5. Step 5: Solve for x
    x = 504,749.19/895.46
  6. Step 6: Final answer
    x = 563.68

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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.