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Finding the Fourth Proportional to 1,191.06, 1,783.48 and 958.68

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Solution

The fourth proportional to 1,191.06, 1,783.48 and 958.68 is: 1,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.06 : 1,783.48 = 958.68 : x
  2. Step 2: Convert to fraction form
    1,191.06/1,783.48 = 958.68/x
  3. Step 3: Cross multiply
    1,191.06x = 1,783.48 × 958.68
  4. Step 4: Simplify right side
    1,191.06x = 1,709,786.61
  5. Step 5: Solve for x
    x = 1,709,786.61/1,191.06
  6. Step 6: Final answer
    x = 1,435.52

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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.