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Finding the Fourth Proportional to 777.16, 1,165.59 and 283.57

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Solution

The fourth proportional to 777.16, 1,165.59 and 283.57 is: 425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.16 : 1,165.59 = 283.57 : x
  2. Step 2: Convert to fraction form
    777.16/1,165.59 = 283.57/x
  3. Step 3: Cross multiply
    777.16x = 1,165.59 × 283.57
  4. Step 4: Simplify right side
    777.16x = 330,523.44
  5. Step 5: Solve for x
    x = 330,523.44/777.16
  6. Step 6: Final answer
    x = 425.30

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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.