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Finding the Fourth Proportional to 794.08, 1,189.94 and 707.58

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Solution

The fourth proportional to 794.08, 1,189.94 and 707.58 is: 1,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.08 : 1,189.94 = 707.58 : x
  2. Step 2: Convert to fraction form
    794.08/1,189.94 = 707.58/x
  3. Step 3: Cross multiply
    794.08x = 1,189.94 × 707.58
  4. Step 4: Simplify right side
    794.08x = 841,977.75
  5. Step 5: Solve for x
    x = 841,977.75/794.08
  6. Step 6: Final answer
    x = 1,060.32

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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.