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Finding the Fourth Proportional to 1,093.30, 1,639.95 and 573.10

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Solution

The fourth proportional to 1,093.30, 1,639.95 and 573.10 is: 859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.30 : 1,639.95 = 573.10 : x
  2. Step 2: Convert to fraction form
    1,093.30/1,639.95 = 573.10/x
  3. Step 3: Cross multiply
    1,093.30x = 1,639.95 × 573.10
  4. Step 4: Simplify right side
    1,093.30x = 939,855.35
  5. Step 5: Solve for x
    x = 939,855.35/1,093.30
  6. Step 6: Final answer
    x = 859.65

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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.