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Finding the Fourth Proportional to 1,093.75, 1,509.23 and 645.68

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Solution

The fourth proportional to 1,093.75, 1,509.23 and 645.68 is: 890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.75 : 1,509.23 = 645.68 : x
  2. Step 2: Convert to fraction form
    1,093.75/1,509.23 = 645.68/x
  3. Step 3: Cross multiply
    1,093.75x = 1,509.23 × 645.68
  4. Step 4: Simplify right side
    1,093.75x = 974,485.01
  5. Step 5: Solve for x
    x = 974,485.01/1,093.75
  6. Step 6: Final answer
    x = 890.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.