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Finding the Fourth Proportional to 1,575.94, 2,363.82 and 698.19

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Solution

The fourth proportional to 1,575.94, 2,363.82 and 698.19 is: 1,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.94 : 2,363.82 = 698.19 : x
  2. Step 2: Convert to fraction form
    1,575.94/2,363.82 = 698.19/x
  3. Step 3: Cross multiply
    1,575.94x = 2,363.82 × 698.19
  4. Step 4: Simplify right side
    1,575.94x = 1,650,395.49
  5. Step 5: Solve for x
    x = 1,650,395.49/1,575.94
  6. Step 6: Final answer
    x = 1,047.25

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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.