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Finding the Fourth Proportional to 1,099.29, 1,649.01 and 636.90

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Solution

The fourth proportional to 1,099.29, 1,649.01 and 636.90 is: 955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.29 : 1,649.01 = 636.90 : x
  2. Step 2: Convert to fraction form
    1,099.29/1,649.01 = 636.90/x
  3. Step 3: Cross multiply
    1,099.29x = 1,649.01 × 636.90
  4. Step 4: Simplify right side
    1,099.29x = 1,050,261.00
  5. Step 5: Solve for x
    x = 1,050,261.00/1,099.29
  6. Step 6: Final answer
    x = 955.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.