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Finding the Fourth Proportional to 1,323.06, 1,983.43 and 500.74

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Solution

The fourth proportional to 1,323.06, 1,983.43 and 500.74 is: 750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.06 : 1,983.43 = 500.74 : x
  2. Step 2: Convert to fraction form
    1,323.06/1,983.43 = 500.74/x
  3. Step 3: Cross multiply
    1,323.06x = 1,983.43 × 500.74
  4. Step 4: Simplify right side
    1,323.06x = 993,178.41
  5. Step 5: Solve for x
    x = 993,178.41/1,323.06
  6. Step 6: Final answer
    x = 750.67

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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.