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Finding the Fourth Proportional to 870.96, 1,202.09 and 517.07

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Solution

The fourth proportional to 870.96, 1,202.09 and 517.07 is: 713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.96 : 1,202.09 = 517.07 : x
  2. Step 2: Convert to fraction form
    870.96/1,202.09 = 517.07/x
  3. Step 3: Cross multiply
    870.96x = 1,202.09 × 517.07
  4. Step 4: Simplify right side
    870.96x = 621,564.68
  5. Step 5: Solve for x
    x = 621,564.68/870.96
  6. Step 6: Final answer
    x = 713.66

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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.