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Finding the Fourth Proportional to 1,419.17, 2,127.50 and 553.28

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Solution

The fourth proportional to 1,419.17, 2,127.50 and 553.28 is: 829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.17 : 2,127.50 = 553.28 : x
  2. Step 2: Convert to fraction form
    1,419.17/2,127.50 = 553.28/x
  3. Step 3: Cross multiply
    1,419.17x = 2,127.50 × 553.28
  4. Step 4: Simplify right side
    1,419.17x = 1,177,100.43
  5. Step 5: Solve for x
    x = 1,177,100.43/1,419.17
  6. Step 6: Final answer
    x = 829.43

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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.