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Finding the Fourth Proportional to 566.02, 784.72 and 545.97

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Solution

The fourth proportional to 566.02, 784.72 and 545.97 is: 756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 784.72 = 545.97 : x
  2. Step 2: Convert to fraction form
    566.02/784.72 = 545.97/x
  3. Step 3: Cross multiply
    566.02x = 784.72 × 545.97
  4. Step 4: Simplify right side
    566.02x = 428,434.26
  5. Step 5: Solve for x
    x = 428,434.26/566.02
  6. Step 6: Final answer
    x = 756.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.