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Finding the Fourth Proportional to 1,193.82, 1,788.75 and 463.01

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Solution

The fourth proportional to 1,193.82, 1,788.75 and 463.01 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.82 : 1,788.75 = 463.01 : x
  2. Step 2: Convert to fraction form
    1,193.82/1,788.75 = 463.01/x
  3. Step 3: Cross multiply
    1,193.82x = 1,788.75 × 463.01
  4. Step 4: Simplify right side
    1,193.82x = 828,200.19
  5. Step 5: Solve for x
    x = 828,200.19/1,193.82
  6. Step 6: Final answer
    x = 693.74

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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.