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Finding the Fourth Proportional to 795.04, 1,190.91 and 785.32

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Solution

The fourth proportional to 795.04, 1,190.91 and 785.32 is: 1,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.04 : 1,190.91 = 785.32 : x
  2. Step 2: Convert to fraction form
    795.04/1,190.91 = 785.32/x
  3. Step 3: Cross multiply
    795.04x = 1,190.91 × 785.32
  4. Step 4: Simplify right side
    795.04x = 935,245.44
  5. Step 5: Solve for x
    x = 935,245.44/795.04
  6. Step 6: Final answer
    x = 1,176.35

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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.