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Finding the Fourth Proportional to 1,083.13, 1,624.61 and 534.83

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Solution

The fourth proportional to 1,083.13, 1,624.61 and 534.83 is: 802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.13 : 1,624.61 = 534.83 : x
  2. Step 2: Convert to fraction form
    1,083.13/1,624.61 = 534.83/x
  3. Step 3: Cross multiply
    1,083.13x = 1,624.61 × 534.83
  4. Step 4: Simplify right side
    1,083.13x = 868,883.38
  5. Step 5: Solve for x
    x = 868,883.38/1,083.13
  6. Step 6: Final answer
    x = 802.20

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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.