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Finding the Fourth Proportional to 748.04, 1,124.10 and 698.83

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Solution

The fourth proportional to 748.04, 1,124.10 and 698.83 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.04 : 1,124.10 = 698.83 : x
  2. Step 2: Convert to fraction form
    748.04/1,124.10 = 698.83/x
  3. Step 3: Cross multiply
    748.04x = 1,124.10 × 698.83
  4. Step 4: Simplify right side
    748.04x = 785,553.96
  5. Step 5: Solve for x
    x = 785,553.96/748.04
  6. Step 6: Final answer
    x = 1,050.16

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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.