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Finding the Fourth Proportional to 1,096.91, 1,513.49 and 631.16

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Solution

The fourth proportional to 1,096.91, 1,513.49 and 631.16 is: 870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.91 : 1,513.49 = 631.16 : x
  2. Step 2: Convert to fraction form
    1,096.91/1,513.49 = 631.16/x
  3. Step 3: Cross multiply
    1,096.91x = 1,513.49 × 631.16
  4. Step 4: Simplify right side
    1,096.91x = 955,243.63
  5. Step 5: Solve for x
    x = 955,243.63/1,096.91
  6. Step 6: Final answer
    x = 870.85

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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.