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Finding the Fourth Proportional to 1,146.98, 1,720.23 and 497.83

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Solution

The fourth proportional to 1,146.98, 1,720.23 and 497.83 is: 746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.98 : 1,720.23 = 497.83 : x
  2. Step 2: Convert to fraction form
    1,146.98/1,720.23 = 497.83/x
  3. Step 3: Cross multiply
    1,146.98x = 1,720.23 × 497.83
  4. Step 4: Simplify right side
    1,146.98x = 856,380.56
  5. Step 5: Solve for x
    x = 856,380.56/1,146.98
  6. Step 6: Final answer
    x = 746.64

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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.