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Finding the Fourth Proportional to 1,083.82, 1,624.59 and 534.87

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Solution

The fourth proportional to 1,083.82, 1,624.59 and 534.87 is: 801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.82 : 1,624.59 = 534.87 : x
  2. Step 2: Convert to fraction form
    1,083.82/1,624.59 = 534.87/x
  3. Step 3: Cross multiply
    1,083.82x = 1,624.59 × 534.87
  4. Step 4: Simplify right side
    1,083.82x = 868,944.45
  5. Step 5: Solve for x
    x = 868,944.45/1,083.82
  6. Step 6: Final answer
    x = 801.74

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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.