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Finding the Fourth Proportional to 920.51, 1,270.31 and 566.29

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Solution

The fourth proportional to 920.51, 1,270.31 and 566.29 is: 781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.51 : 1,270.31 = 566.29 : x
  2. Step 2: Convert to fraction form
    920.51/1,270.31 = 566.29/x
  3. Step 3: Cross multiply
    920.51x = 1,270.31 × 566.29
  4. Step 4: Simplify right side
    920.51x = 719,357.50
  5. Step 5: Solve for x
    x = 719,357.50/920.51
  6. Step 6: Final answer
    x = 781.48

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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.