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Finding the Fourth Proportional to 1,102.67, 1,521.83 and 637.01

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Solution

The fourth proportional to 1,102.67, 1,521.83 and 637.01 is: 879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.67 : 1,521.83 = 637.01 : x
  2. Step 2: Convert to fraction form
    1,102.67/1,521.83 = 637.01/x
  3. Step 3: Cross multiply
    1,102.67x = 1,521.83 × 637.01
  4. Step 4: Simplify right side
    1,102.67x = 969,420.93
  5. Step 5: Solve for x
    x = 969,420.93/1,102.67
  6. Step 6: Final answer
    x = 879.16

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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.