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Finding the Fourth Proportional to 1,019.43, 1,406.58 and 577.24

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Solution

The fourth proportional to 1,019.43, 1,406.58 and 577.24 is: 796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.43 : 1,406.58 = 577.24 : x
  2. Step 2: Convert to fraction form
    1,019.43/1,406.58 = 577.24/x
  3. Step 3: Cross multiply
    1,019.43x = 1,406.58 × 577.24
  4. Step 4: Simplify right side
    1,019.43x = 811,927.21
  5. Step 5: Solve for x
    x = 811,927.21/1,019.43
  6. Step 6: Final answer
    x = 796.45

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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.