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Finding the Fourth Proportional to 678.72, 933.60 and 566.63

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Solution

The fourth proportional to 678.72, 933.60 and 566.63 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.72 : 933.60 = 566.63 : x
  2. Step 2: Convert to fraction form
    678.72/933.60 = 566.63/x
  3. Step 3: Cross multiply
    678.72x = 933.60 × 566.63
  4. Step 4: Simplify right side
    678.72x = 529,005.77
  5. Step 5: Solve for x
    x = 529,005.77/678.72
  6. Step 6: Final answer
    x = 779.42

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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.