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Finding the Fourth Proportional to 1,570.69, 2,356.02 and 475.09

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Solution

The fourth proportional to 1,570.69, 2,356.02 and 475.09 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.69 : 2,356.02 = 475.09 : x
  2. Step 2: Convert to fraction form
    1,570.69/2,356.02 = 475.09/x
  3. Step 3: Cross multiply
    1,570.69x = 2,356.02 × 475.09
  4. Step 4: Simplify right side
    1,570.69x = 1,119,321.54
  5. Step 5: Solve for x
    x = 1,119,321.54/1,570.69
  6. Step 6: Final answer
    x = 712.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.