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Finding the Fourth Proportional to 895.65, 1,234.73 and 615.44

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Solution

The fourth proportional to 895.65, 1,234.73 and 615.44 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.65 : 1,234.73 = 615.44 : x
  2. Step 2: Convert to fraction form
    895.65/1,234.73 = 615.44/x
  3. Step 3: Cross multiply
    895.65x = 1,234.73 × 615.44
  4. Step 4: Simplify right side
    895.65x = 759,892.98
  5. Step 5: Solve for x
    x = 759,892.98/895.65
  6. Step 6: Final answer
    x = 848.43

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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.