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Finding the Fourth Proportional to 1,096.65, 1,512.96 and 624.51

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Solution

The fourth proportional to 1,096.65, 1,512.96 and 624.51 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.65 : 1,512.96 = 624.51 : x
  2. Step 2: Convert to fraction form
    1,096.65/1,512.96 = 624.51/x
  3. Step 3: Cross multiply
    1,096.65x = 1,512.96 × 624.51
  4. Step 4: Simplify right side
    1,096.65x = 944,858.65
  5. Step 5: Solve for x
    x = 944,858.65/1,096.65
  6. Step 6: Final answer
    x = 861.59

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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.