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Finding the Fourth Proportional to 954.66, 1,432.43 and 589.22

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Solution

The fourth proportional to 954.66, 1,432.43 and 589.22 is: 884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.66 : 1,432.43 = 589.22 : x
  2. Step 2: Convert to fraction form
    954.66/1,432.43 = 589.22/x
  3. Step 3: Cross multiply
    954.66x = 1,432.43 × 589.22
  4. Step 4: Simplify right side
    954.66x = 844,006.30
  5. Step 5: Solve for x
    x = 844,006.30/954.66
  6. Step 6: Final answer
    x = 884.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.