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Finding the Fourth Proportional to 1,093.10, 1,639.58 and 572.81

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Solution

The fourth proportional to 1,093.10, 1,639.58 and 572.81 is: 859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.10 : 1,639.58 = 572.81 : x
  2. Step 2: Convert to fraction form
    1,093.10/1,639.58 = 572.81/x
  3. Step 3: Cross multiply
    1,093.10x = 1,639.58 × 572.81
  4. Step 4: Simplify right side
    1,093.10x = 939,156.76
  5. Step 5: Solve for x
    x = 939,156.76/1,093.10
  6. Step 6: Final answer
    x = 859.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.