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Finding the Fourth Proportional to 616.77, 850.59 and 512.01

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Solution

The fourth proportional to 616.77, 850.59 and 512.01 is: 706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 850.59 = 512.01 : x
  2. Step 2: Convert to fraction form
    616.77/850.59 = 512.01/x
  3. Step 3: Cross multiply
    616.77x = 850.59 × 512.01
  4. Step 4: Simplify right side
    616.77x = 435,510.59
  5. Step 5: Solve for x
    x = 435,510.59/616.77
  6. Step 6: Final answer
    x = 706.12

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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.