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Finding the Fourth Proportional to 565.66, 847.83 and 500.79

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Solution

The fourth proportional to 565.66, 847.83 and 500.79 is: 750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.66 : 847.83 = 500.79 : x
  2. Step 2: Convert to fraction form
    565.66/847.83 = 500.79/x
  3. Step 3: Cross multiply
    565.66x = 847.83 × 500.79
  4. Step 4: Simplify right side
    565.66x = 424,585.14
  5. Step 5: Solve for x
    x = 424,585.14/565.66
  6. Step 6: Final answer
    x = 750.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.