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Finding the Fourth Proportional to 850.34, 1,173.02 and 570.26

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Solution

The fourth proportional to 850.34, 1,173.02 and 570.26 is: 786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,173.02 = 570.26 : x
  2. Step 2: Convert to fraction form
    850.34/1,173.02 = 570.26/x
  3. Step 3: Cross multiply
    850.34x = 1,173.02 × 570.26
  4. Step 4: Simplify right side
    850.34x = 668,926.39
  5. Step 5: Solve for x
    x = 668,926.39/850.34
  6. Step 6: Final answer
    x = 786.66

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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.