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Finding the Fourth Proportional to 1,545.74, 2,317.76 and 764.02

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Solution

The fourth proportional to 1,545.74, 2,317.76 and 764.02 is: 1,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.74 : 2,317.76 = 764.02 : x
  2. Step 2: Convert to fraction form
    1,545.74/2,317.76 = 764.02/x
  3. Step 3: Cross multiply
    1,545.74x = 2,317.76 × 764.02
  4. Step 4: Simplify right side
    1,545.74x = 1,770,815.00
  5. Step 5: Solve for x
    x = 1,770,815.00/1,545.74
  6. Step 6: Final answer
    x = 1,145.61

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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.