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Finding the Fourth Proportional to 920.78, 1,270.71 and 589.17

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Solution

The fourth proportional to 920.78, 1,270.71 and 589.17 is: 813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.78 : 1,270.71 = 589.17 : x
  2. Step 2: Convert to fraction form
    920.78/1,270.71 = 589.17/x
  3. Step 3: Cross multiply
    920.78x = 1,270.71 × 589.17
  4. Step 4: Simplify right side
    920.78x = 748,664.21
  5. Step 5: Solve for x
    x = 748,664.21/920.78
  6. Step 6: Final answer
    x = 813.08

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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.