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Finding the Fourth Proportional to 567.74, 847.94 and 536.15

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Solution

The fourth proportional to 567.74, 847.94 and 536.15 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.74 : 847.94 = 536.15 : x
  2. Step 2: Convert to fraction form
    567.74/847.94 = 536.15/x
  3. Step 3: Cross multiply
    567.74x = 847.94 × 536.15
  4. Step 4: Simplify right side
    567.74x = 454,622.47
  5. Step 5: Solve for x
    x = 454,622.47/567.74
  6. Step 6: Final answer
    x = 800.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.