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Finding the Fourth Proportional to 1,083.40, 1,625.64 and 536.56

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Solution

The fourth proportional to 1,083.40, 1,625.64 and 536.56 is: 805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.40 : 1,625.64 = 536.56 : x
  2. Step 2: Convert to fraction form
    1,083.40/1,625.64 = 536.56/x
  3. Step 3: Cross multiply
    1,083.40x = 1,625.64 × 536.56
  4. Step 4: Simplify right side
    1,083.40x = 872,253.40
  5. Step 5: Solve for x
    x = 872,253.40/1,083.40
  6. Step 6: Final answer
    x = 805.11

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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.