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Finding the Fourth Proportional to 1,293.58, 1,940.02 and 562.99

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Solution

The fourth proportional to 1,293.58, 1,940.02 and 562.99 is: 844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.58 : 1,940.02 = 562.99 : x
  2. Step 2: Convert to fraction form
    1,293.58/1,940.02 = 562.99/x
  3. Step 3: Cross multiply
    1,293.58x = 1,940.02 × 562.99
  4. Step 4: Simplify right side
    1,293.58x = 1,092,211.86
  5. Step 5: Solve for x
    x = 1,092,211.86/1,293.58
  6. Step 6: Final answer
    x = 844.33

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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.