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Finding the Fourth Proportional to 848.68, 1,171.06 and 517.05

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Solution

The fourth proportional to 848.68, 1,171.06 and 517.05 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.68 : 1,171.06 = 517.05 : x
  2. Step 2: Convert to fraction form
    848.68/1,171.06 = 517.05/x
  3. Step 3: Cross multiply
    848.68x = 1,171.06 × 517.05
  4. Step 4: Simplify right side
    848.68x = 605,495.28
  5. Step 5: Solve for x
    x = 605,495.28/848.68
  6. Step 6: Final answer
    x = 713.46

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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.