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Finding the Fourth Proportional to 1,098, 1,649.76 and 635.76

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Solution

The fourth proportional to 1,098, 1,649.76 and 635.76 is: 955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 1,649.76 = 635.76 : x
  2. Step 2: Convert to fraction form
    1,098/1,649.76 = 635.76/x
  3. Step 3: Cross multiply
    1,098x = 1,649.76 × 635.76
  4. Step 4: Simplify right side
    1,098x = 1,048,851.42
  5. Step 5: Solve for x
    x = 1,048,851.42/1,098
  6. Step 6: Final answer
    x = 955.24

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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.