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Finding the Fourth Proportional to 1,624.03, 2,434.48 and 527.65

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Solution

The fourth proportional to 1,624.03, 2,434.48 and 527.65 is: 790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.03 : 2,434.48 = 527.65 : x
  2. Step 2: Convert to fraction form
    1,624.03/2,434.48 = 527.65/x
  3. Step 3: Cross multiply
    1,624.03x = 2,434.48 × 527.65
  4. Step 4: Simplify right side
    1,624.03x = 1,284,553.37
  5. Step 5: Solve for x
    x = 1,284,553.37/1,624.03
  6. Step 6: Final answer
    x = 790.97

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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.