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Finding the Fourth Proportional to 983.83, 1,475.74 and 253.39

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Solution

The fourth proportional to 983.83, 1,475.74 and 253.39 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.83 : 1,475.74 = 253.39 : x
  2. Step 2: Convert to fraction form
    983.83/1,475.74 = 253.39/x
  3. Step 3: Cross multiply
    983.83x = 1,475.74 × 253.39
  4. Step 4: Simplify right side
    983.83x = 373,933.72
  5. Step 5: Solve for x
    x = 373,933.72/983.83
  6. Step 6: Final answer
    x = 380.08

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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.