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Finding the Fourth Proportional to 1,057.77, 1,584.62 and 594.14

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Solution

The fourth proportional to 1,057.77, 1,584.62 and 594.14 is: 890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.77 : 1,584.62 = 594.14 : x
  2. Step 2: Convert to fraction form
    1,057.77/1,584.62 = 594.14/x
  3. Step 3: Cross multiply
    1,057.77x = 1,584.62 × 594.14
  4. Step 4: Simplify right side
    1,057.77x = 941,487.12
  5. Step 5: Solve for x
    x = 941,487.12/1,057.77
  6. Step 6: Final answer
    x = 890.07

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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.