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Finding the Fourth Proportional to 895.15, 1,234.03 and 614.94

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Solution

The fourth proportional to 895.15, 1,234.03 and 614.94 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.15 : 1,234.03 = 614.94 : x
  2. Step 2: Convert to fraction form
    895.15/1,234.03 = 614.94/x
  3. Step 3: Cross multiply
    895.15x = 1,234.03 × 614.94
  4. Step 4: Simplify right side
    895.15x = 758,854.41
  5. Step 5: Solve for x
    x = 758,854.41/895.15
  6. Step 6: Final answer
    x = 847.74

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Why These Related Problems?

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