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Finding the Fourth Proportional to 895.57, 1,342.98 and 426.76

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Solution

The fourth proportional to 895.57, 1,342.98 and 426.76 is: 639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.57 : 1,342.98 = 426.76 : x
  2. Step 2: Convert to fraction form
    895.57/1,342.98 = 426.76/x
  3. Step 3: Cross multiply
    895.57x = 1,342.98 × 426.76
  4. Step 4: Simplify right side
    895.57x = 573,127.72
  5. Step 5: Solve for x
    x = 573,127.72/895.57
  6. Step 6: Final answer
    x = 639.96

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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.