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Finding the Fourth Proportional to 780.23, 1,076.34 and 570.06

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Solution

The fourth proportional to 780.23, 1,076.34 and 570.06 is: 786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.23 : 1,076.34 = 570.06 : x
  2. Step 2: Convert to fraction form
    780.23/1,076.34 = 570.06/x
  3. Step 3: Cross multiply
    780.23x = 1,076.34 × 570.06
  4. Step 4: Simplify right side
    780.23x = 613,578.38
  5. Step 5: Solve for x
    x = 613,578.38/780.23
  6. Step 6: Final answer
    x = 786.41

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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.