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Finding the Fourth Proportional to 1,521.83, 2,283.13 and 426.20

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Solution

The fourth proportional to 1,521.83, 2,283.13 and 426.20 is: 639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.83 : 2,283.13 = 426.20 : x
  2. Step 2: Convert to fraction form
    1,521.83/2,283.13 = 426.20/x
  3. Step 3: Cross multiply
    1,521.83x = 2,283.13 × 426.20
  4. Step 4: Simplify right side
    1,521.83x = 973,070.01
  5. Step 5: Solve for x
    x = 973,070.01/1,521.83
  6. Step 6: Final answer
    x = 639.41

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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.