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Finding the Fourth Proportional to 647.22, 966.12 and 569.38

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Solution

The fourth proportional to 647.22, 966.12 and 569.38 is: 849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 966.12 = 569.38 : x
  2. Step 2: Convert to fraction form
    647.22/966.12 = 569.38/x
  3. Step 3: Cross multiply
    647.22x = 966.12 × 569.38
  4. Step 4: Simplify right side
    647.22x = 550,089.13
  5. Step 5: Solve for x
    x = 550,089.13/647.22
  6. Step 6: Final answer
    x = 849.93

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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.