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Finding the Fourth Proportional to 765.81, 1,147.83 and 303.50

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Solution

The fourth proportional to 765.81, 1,147.83 and 303.50 is: 454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.81 : 1,147.83 = 303.50 : x
  2. Step 2: Convert to fraction form
    765.81/1,147.83 = 303.50/x
  3. Step 3: Cross multiply
    765.81x = 1,147.83 × 303.50
  4. Step 4: Simplify right side
    765.81x = 348,360.67
  5. Step 5: Solve for x
    x = 348,360.67/765.81
  6. Step 6: Final answer
    x = 454.89

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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.