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Finding the Fourth Proportional to 654.64, 979.52 and 647.35

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Solution

The fourth proportional to 654.64, 979.52 and 647.35 is: 968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.64 : 979.52 = 647.35 : x
  2. Step 2: Convert to fraction form
    654.64/979.52 = 647.35/x
  3. Step 3: Cross multiply
    654.64x = 979.52 × 647.35
  4. Step 4: Simplify right side
    654.64x = 634,092.27
  5. Step 5: Solve for x
    x = 634,092.27/654.64
  6. Step 6: Final answer
    x = 968.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.