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Finding the Fourth Proportional to 1,188.48, 1,783.07 and 842.48

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Solution

The fourth proportional to 1,188.48, 1,783.07 and 842.48 is: 1,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.48 : 1,783.07 = 842.48 : x
  2. Step 2: Convert to fraction form
    1,188.48/1,783.07 = 842.48/x
  3. Step 3: Cross multiply
    1,188.48x = 1,783.07 × 842.48
  4. Step 4: Simplify right side
    1,188.48x = 1,502,187.69
  5. Step 5: Solve for x
    x = 1,502,187.69/1,188.48
  6. Step 6: Final answer
    x = 1,263.96

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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.