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Finding the Fourth Proportional to 1,057.02, 1,584.42 and 594.24

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Solution

The fourth proportional to 1,057.02, 1,584.42 and 594.24 is: 890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,584.42 = 594.24 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,584.42 = 594.24/x
  3. Step 3: Cross multiply
    1,057.02x = 1,584.42 × 594.24
  4. Step 4: Simplify right side
    1,057.02x = 941,525.74
  5. Step 5: Solve for x
    x = 941,525.74/1,057.02
  6. Step 6: Final answer
    x = 890.74

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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.