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Finding the Fourth Proportional to 777.33, 1,165.68 and 465.12

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Solution

The fourth proportional to 777.33, 1,165.68 and 465.12 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.33 : 1,165.68 = 465.12 : x
  2. Step 2: Convert to fraction form
    777.33/1,165.68 = 465.12/x
  3. Step 3: Cross multiply
    777.33x = 1,165.68 × 465.12
  4. Step 4: Simplify right side
    777.33x = 542,181.08
  5. Step 5: Solve for x
    x = 542,181.08/777.33
  6. Step 6: Final answer
    x = 697.49

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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.