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Finding the Fourth Proportional to 920.13, 1,270.62 and 589.14

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Solution

The fourth proportional to 920.13, 1,270.62 and 589.14 is: 813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.13 : 1,270.62 = 589.14 : x
  2. Step 2: Convert to fraction form
    920.13/1,270.62 = 589.14/x
  3. Step 3: Cross multiply
    920.13x = 1,270.62 × 589.14
  4. Step 4: Simplify right side
    920.13x = 748,570.19
  5. Step 5: Solve for x
    x = 748,570.19/920.13
  6. Step 6: Final answer
    x = 813.54

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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.