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Finding the Fourth Proportional to 848.10, 1,170.39 and 599.86

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Solution

The fourth proportional to 848.10, 1,170.39 and 599.86 is: 827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.10 : 1,170.39 = 599.86 : x
  2. Step 2: Convert to fraction form
    848.10/1,170.39 = 599.86/x
  3. Step 3: Cross multiply
    848.10x = 1,170.39 × 599.86
  4. Step 4: Simplify right side
    848.10x = 702,070.15
  5. Step 5: Solve for x
    x = 702,070.15/848.10
  6. Step 6: Final answer
    x = 827.82

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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.