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Finding the Fourth Proportional to 567.93, 785.13 and 562.73

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Solution

The fourth proportional to 567.93, 785.13 and 562.73 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.93 : 785.13 = 562.73 : x
  2. Step 2: Convert to fraction form
    567.93/785.13 = 562.73/x
  3. Step 3: Cross multiply
    567.93x = 785.13 × 562.73
  4. Step 4: Simplify right side
    567.93x = 441,817.13
  5. Step 5: Solve for x
    x = 441,817.13/567.93
  6. Step 6: Final answer
    x = 777.95

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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.