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Finding the Fourth Proportional to 1,155.69, 1,733.96 and 497.70

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Solution

The fourth proportional to 1,155.69, 1,733.96 and 497.70 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.69 : 1,733.96 = 497.70 : x
  2. Step 2: Convert to fraction form
    1,155.69/1,733.96 = 497.70/x
  3. Step 3: Cross multiply
    1,155.69x = 1,733.96 × 497.70
  4. Step 4: Simplify right side
    1,155.69x = 862,991.89
  5. Step 5: Solve for x
    x = 862,991.89/1,155.69
  6. Step 6: Final answer
    x = 746.73

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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.