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Finding the Fourth Proportional to 1,553.26, 2,328.92 and 628.06

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Solution

The fourth proportional to 1,553.26, 2,328.92 and 628.06 is: 941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.26 : 2,328.92 = 628.06 : x
  2. Step 2: Convert to fraction form
    1,553.26/2,328.92 = 628.06/x
  3. Step 3: Cross multiply
    1,553.26x = 2,328.92 × 628.06
  4. Step 4: Simplify right side
    1,553.26x = 1,462,701.50
  5. Step 5: Solve for x
    x = 1,462,701.50/1,553.26
  6. Step 6: Final answer
    x = 941.70

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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.