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Finding the Fourth Proportional to 848.72, 1,171.91 and 565.41

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Solution

The fourth proportional to 848.72, 1,171.91 and 565.41 is: 780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.72 : 1,171.91 = 565.41 : x
  2. Step 2: Convert to fraction form
    848.72/1,171.91 = 565.41/x
  3. Step 3: Cross multiply
    848.72x = 1,171.91 × 565.41
  4. Step 4: Simplify right side
    848.72x = 662,613.85
  5. Step 5: Solve for x
    x = 662,613.85/848.72
  6. Step 6: Final answer
    x = 780.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.