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Finding the Fourth Proportional to 983.79, 1,475.60 and 496.46

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Solution

The fourth proportional to 983.79, 1,475.60 and 496.46 is: 744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.79 : 1,475.60 = 496.46 : x
  2. Step 2: Convert to fraction form
    983.79/1,475.60 = 496.46/x
  3. Step 3: Cross multiply
    983.79x = 1,475.60 × 496.46
  4. Step 4: Simplify right side
    983.79x = 732,566.52
  5. Step 5: Solve for x
    x = 732,566.52/983.79
  6. Step 6: Final answer
    x = 744.64

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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.