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Finding the Fourth Proportional to 567.94, 776.66 and 567.94

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Solution

The fourth proportional to 567.94, 776.66 and 567.94 is: 776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.94 : 776.66 = 567.94 : x
  2. Step 2: Convert to fraction form
    567.94/776.66 = 567.94/x
  3. Step 3: Cross multiply
    567.94x = 776.66 × 567.94
  4. Step 4: Simplify right side
    567.94x = 441,096.28
  5. Step 5: Solve for x
    x = 441,096.28/567.94
  6. Step 6: Final answer
    x = 776.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.