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Finding the Fourth Proportional to 983.94, 1,475.70 and 496.52

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Solution

The fourth proportional to 983.94, 1,475.70 and 496.52 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.94 : 1,475.70 = 496.52 : x
  2. Step 2: Convert to fraction form
    983.94/1,475.70 = 496.52/x
  3. Step 3: Cross multiply
    983.94x = 1,475.70 × 496.52
  4. Step 4: Simplify right side
    983.94x = 732,714.56
  5. Step 5: Solve for x
    x = 732,714.56/983.94
  6. Step 6: Final answer
    x = 744.67

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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.