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Finding the Fourth Proportional to 1,193.88, 1,790.46 and 463.80

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Solution

The fourth proportional to 1,193.88, 1,790.46 and 463.80 is: 695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.88 : 1,790.46 = 463.80 : x
  2. Step 2: Convert to fraction form
    1,193.88/1,790.46 = 463.80/x
  3. Step 3: Cross multiply
    1,193.88x = 1,790.46 × 463.80
  4. Step 4: Simplify right side
    1,193.88x = 830,415.35
  5. Step 5: Solve for x
    x = 830,415.35/1,193.88
  6. Step 6: Final answer
    x = 695.56

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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.