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Finding the Fourth Proportional to 794.19, 1,190.09 and 707.07

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Solution

The fourth proportional to 794.19, 1,190.09 and 707.07 is: 1,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.19 : 1,190.09 = 707.07 : x
  2. Step 2: Convert to fraction form
    794.19/1,190.09 = 707.07/x
  3. Step 3: Cross multiply
    794.19x = 1,190.09 × 707.07
  4. Step 4: Simplify right side
    794.19x = 841,473.40
  5. Step 5: Solve for x
    x = 841,473.40/794.19
  6. Step 6: Final answer
    x = 1,059.54

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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.