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Finding the Fourth Proportional to 1,083.80, 1,625.82 and 353.40

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Solution

The fourth proportional to 1,083.80, 1,625.82 and 353.40 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.80 : 1,625.82 = 353.40 : x
  2. Step 2: Convert to fraction form
    1,083.80/1,625.82 = 353.40/x
  3. Step 3: Cross multiply
    1,083.80x = 1,625.82 × 353.40
  4. Step 4: Simplify right side
    1,083.80x = 574,564.79
  5. Step 5: Solve for x
    x = 574,564.79/1,083.80
  6. Step 6: Final answer
    x = 530.14

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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.