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Finding the Fourth Proportional to 1,019.17, 1,406.46 and 577.11

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Solution

The fourth proportional to 1,019.17, 1,406.46 and 577.11 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.17 : 1,406.46 = 577.11 : x
  2. Step 2: Convert to fraction form
    1,019.17/1,406.46 = 577.11/x
  3. Step 3: Cross multiply
    1,019.17x = 1,406.46 × 577.11
  4. Step 4: Simplify right side
    1,019.17x = 811,682.13
  5. Step 5: Solve for x
    x = 811,682.13/1,019.17
  6. Step 6: Final answer
    x = 796.41

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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.