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Finding the Fourth Proportional to 1,093.59, 1,640.64 and 313.57

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Solution

The fourth proportional to 1,093.59, 1,640.64 and 313.57 is: 470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.59 : 1,640.64 = 313.57 : x
  2. Step 2: Convert to fraction form
    1,093.59/1,640.64 = 313.57/x
  3. Step 3: Cross multiply
    1,093.59x = 1,640.64 × 313.57
  4. Step 4: Simplify right side
    1,093.59x = 514,458.71
  5. Step 5: Solve for x
    x = 514,458.71/1,093.59
  6. Step 6: Final answer
    x = 470.43

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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.