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Finding the Fourth Proportional to 1,019.05, 1,406.54 and 577.22

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Solution

The fourth proportional to 1,019.05, 1,406.54 and 577.22 is: 796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.05 : 1,406.54 = 577.22 : x
  2. Step 2: Convert to fraction form
    1,019.05/1,406.54 = 577.22/x
  3. Step 3: Cross multiply
    1,019.05x = 1,406.54 × 577.22
  4. Step 4: Simplify right side
    1,019.05x = 811,877.43
  5. Step 5: Solve for x
    x = 811,877.43/1,019.05
  6. Step 6: Final answer
    x = 796.70

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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.