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Finding the Fourth Proportional to 777.47, 1,072.86 and 428.16

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Solution

The fourth proportional to 777.47, 1,072.86 and 428.16 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,072.86 = 428.16 : x
  2. Step 2: Convert to fraction form
    777.47/1,072.86 = 428.16/x
  3. Step 3: Cross multiply
    777.47x = 1,072.86 × 428.16
  4. Step 4: Simplify right side
    777.47x = 459,355.74
  5. Step 5: Solve for x
    x = 459,355.74/777.47
  6. Step 6: Final answer
    x = 590.83

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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.