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Finding the Fourth Proportional to 1,649.70, 2,473.76 and 553.76

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Solution

The fourth proportional to 1,649.70, 2,473.76 and 553.76 is: 830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.70 : 2,473.76 = 553.76 : x
  2. Step 2: Convert to fraction form
    1,649.70/2,473.76 = 553.76/x
  3. Step 3: Cross multiply
    1,649.70x = 2,473.76 × 553.76
  4. Step 4: Simplify right side
    1,649.70x = 1,369,869.34
  5. Step 5: Solve for x
    x = 1,369,869.34/1,649.70
  6. Step 6: Final answer
    x = 830.37

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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.