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Finding the Fourth Proportional to 983.80, 1,475.65 and 334.53

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Solution

The fourth proportional to 983.80, 1,475.65 and 334.53 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.80 : 1,475.65 = 334.53 : x
  2. Step 2: Convert to fraction form
    983.80/1,475.65 = 334.53/x
  3. Step 3: Cross multiply
    983.80x = 1,475.65 × 334.53
  4. Step 4: Simplify right side
    983.80x = 493,649.19
  5. Step 5: Solve for x
    x = 493,649.19/983.80
  6. Step 6: Final answer
    x = 501.78

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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.