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Finding the Fourth Proportional to 777.34, 1,072.72 and 428.02

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Solution

The fourth proportional to 777.34, 1,072.72 and 428.02 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.34 : 1,072.72 = 428.02 : x
  2. Step 2: Convert to fraction form
    777.34/1,072.72 = 428.02/x
  3. Step 3: Cross multiply
    777.34x = 1,072.72 × 428.02
  4. Step 4: Simplify right side
    777.34x = 459,145.61
  5. Step 5: Solve for x
    x = 459,145.61/777.34
  6. Step 6: Final answer
    x = 590.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.