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Finding the Fourth Proportional to 565.74, 784.33 and 545.69

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Solution

The fourth proportional to 565.74, 784.33 and 545.69 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.74 : 784.33 = 545.69 : x
  2. Step 2: Convert to fraction form
    565.74/784.33 = 545.69/x
  3. Step 3: Cross multiply
    565.74x = 784.33 × 545.69
  4. Step 4: Simplify right side
    565.74x = 428,000.74
  5. Step 5: Solve for x
    x = 428,000.74/565.74
  6. Step 6: Final answer
    x = 756.54

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