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Finding the Fourth Proportional to 920.61, 1,270.58 and 589.41

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Solution

The fourth proportional to 920.61, 1,270.58 and 589.41 is: 813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.61 : 1,270.58 = 589.41 : x
  2. Step 2: Convert to fraction form
    920.61/1,270.58 = 589.41/x
  3. Step 3: Cross multiply
    920.61x = 1,270.58 × 589.41
  4. Step 4: Simplify right side
    920.61x = 748,889.61
  5. Step 5: Solve for x
    x = 748,889.61/920.61
  6. Step 6: Final answer
    x = 813.47

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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.