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Finding the Fourth Proportional to 795.58, 1,195.20 and 565.03

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Solution

The fourth proportional to 795.58, 1,195.20 and 565.03 is: 848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.58 : 1,195.20 = 565.03 : x
  2. Step 2: Convert to fraction form
    795.58/1,195.20 = 565.03/x
  3. Step 3: Cross multiply
    795.58x = 1,195.20 × 565.03
  4. Step 4: Simplify right side
    795.58x = 675,323.86
  5. Step 5: Solve for x
    x = 675,323.86/795.58
  6. Step 6: Final answer
    x = 848.84

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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.