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Finding the Fourth Proportional to 1,589.47, 2,384.20 and 435.22

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Solution

The fourth proportional to 1,589.47, 2,384.20 and 435.22 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.47 : 2,384.20 = 435.22 : x
  2. Step 2: Convert to fraction form
    1,589.47/2,384.20 = 435.22/x
  3. Step 3: Cross multiply
    1,589.47x = 2,384.20 × 435.22
  4. Step 4: Simplify right side
    1,589.47x = 1,037,644.48
  5. Step 5: Solve for x
    x = 1,037,644.48/1,589.47
  6. Step 6: Final answer
    x = 652.83

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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.