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Finding the Fourth Proportional to 1,155.00, 1,733.73 and 497.20

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Solution

The fourth proportional to 1,155.00, 1,733.73 and 497.20 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.00 : 1,733.73 = 497.20 : x
  2. Step 2: Convert to fraction form
    1,155.00/1,733.73 = 497.20/x
  3. Step 3: Cross multiply
    1,155.00x = 1,733.73 × 497.20
  4. Step 4: Simplify right side
    1,155.00x = 862,006.91
  5. Step 5: Solve for x
    x = 862,006.91/1,155.00
  6. Step 6: Final answer
    x = 746.33

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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.