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Finding the Fourth Proportional to 788.02, 1,182.06 and 463.14

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Solution

The fourth proportional to 788.02, 1,182.06 and 463.14 is: 694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.02 : 1,182.06 = 463.14 : x
  2. Step 2: Convert to fraction form
    788.02/1,182.06 = 463.14/x
  3. Step 3: Cross multiply
    788.02x = 1,182.06 × 463.14
  4. Step 4: Simplify right side
    788.02x = 547,459.27
  5. Step 5: Solve for x
    x = 547,459.27/788.02
  6. Step 6: Final answer
    x = 694.73

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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.