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Finding the Fourth Proportional to 1,363.52, 2,044.70 and 438.57

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Solution

The fourth proportional to 1,363.52, 2,044.70 and 438.57 is: 657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.52 : 2,044.70 = 438.57 : x
  2. Step 2: Convert to fraction form
    1,363.52/2,044.70 = 438.57/x
  3. Step 3: Cross multiply
    1,363.52x = 2,044.70 × 438.57
  4. Step 4: Simplify right side
    1,363.52x = 896,741.89
  5. Step 5: Solve for x
    x = 896,741.89/1,363.52
  6. Step 6: Final answer
    x = 657.67

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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.