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Finding the Fourth Proportional to 1,035.65, 1,553.73 and 305.22

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Solution

The fourth proportional to 1,035.65, 1,553.73 and 305.22 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.65 : 1,553.73 = 305.22 : x
  2. Step 2: Convert to fraction form
    1,035.65/1,553.73 = 305.22/x
  3. Step 3: Cross multiply
    1,035.65x = 1,553.73 × 305.22
  4. Step 4: Simplify right side
    1,035.65x = 474,227.94
  5. Step 5: Solve for x
    x = 474,227.94/1,035.65
  6. Step 6: Final answer
    x = 457.91

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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.