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Finding the Fourth Proportional to 850.07, 1,172.66 and 570.36

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Solution

The fourth proportional to 850.07, 1,172.66 and 570.36 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.07 : 1,172.66 = 570.36 : x
  2. Step 2: Convert to fraction form
    850.07/1,172.66 = 570.36/x
  3. Step 3: Cross multiply
    850.07x = 1,172.66 × 570.36
  4. Step 4: Simplify right side
    850.07x = 668,835.51
  5. Step 5: Solve for x
    x = 668,835.51/850.07
  6. Step 6: Final answer
    x = 786.81

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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.