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Finding the Fourth Proportional to 795.56, 1,190.23 and 703.22

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Solution

The fourth proportional to 795.56, 1,190.23 and 703.22 is: 1,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.56 : 1,190.23 = 703.22 : x
  2. Step 2: Convert to fraction form
    795.56/1,190.23 = 703.22/x
  3. Step 3: Cross multiply
    795.56x = 1,190.23 × 703.22
  4. Step 4: Simplify right side
    795.56x = 836,985.83
  5. Step 5: Solve for x
    x = 836,985.83/795.56
  6. Step 6: Final answer
    x = 1,052.08

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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.