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Finding the Fourth Proportional to 1,057.90, 1,584.32 and 562.98

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Solution

The fourth proportional to 1,057.90, 1,584.32 and 562.98 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.90 : 1,584.32 = 562.98 : x
  2. Step 2: Convert to fraction form
    1,057.90/1,584.32 = 562.98/x
  3. Step 3: Cross multiply
    1,057.90x = 1,584.32 × 562.98
  4. Step 4: Simplify right side
    1,057.90x = 891,940.47
  5. Step 5: Solve for x
    x = 891,940.47/1,057.90
  6. Step 6: Final answer
    x = 843.12

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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.