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Finding the Fourth Proportional to 1,036.17, 1,553.91 and 305.76

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Solution

The fourth proportional to 1,036.17, 1,553.91 and 305.76 is: 458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.17 : 1,553.91 = 305.76 : x
  2. Step 2: Convert to fraction form
    1,036.17/1,553.91 = 305.76/x
  3. Step 3: Cross multiply
    1,036.17x = 1,553.91 × 305.76
  4. Step 4: Simplify right side
    1,036.17x = 475,123.52
  5. Step 5: Solve for x
    x = 475,123.52/1,036.17
  6. Step 6: Final answer
    x = 458.54

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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.