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Finding the Fourth Proportional to 848.57, 1,170.86 and 517.01

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Solution

The fourth proportional to 848.57, 1,170.86 and 517.01 is: 713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.57 : 1,170.86 = 517.01 : x
  2. Step 2: Convert to fraction form
    848.57/1,170.86 = 517.01/x
  3. Step 3: Cross multiply
    848.57x = 1,170.86 × 517.01
  4. Step 4: Simplify right side
    848.57x = 605,337.89
  5. Step 5: Solve for x
    x = 605,337.89/848.57
  6. Step 6: Final answer
    x = 713.37

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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.