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Finding the Fourth Proportional to 1,102.09, 1,520.92 and 630.06

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Solution

The fourth proportional to 1,102.09, 1,520.92 and 630.06 is: 869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.09 : 1,520.92 = 630.06 : x
  2. Step 2: Convert to fraction form
    1,102.09/1,520.92 = 630.06/x
  3. Step 3: Cross multiply
    1,102.09x = 1,520.92 × 630.06
  4. Step 4: Simplify right side
    1,102.09x = 958,270.86
  5. Step 5: Solve for x
    x = 958,270.86/1,102.09
  6. Step 6: Final answer
    x = 869.50

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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.