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Finding the Fourth Proportional to 641.60, 961.28 and 584.64

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Solution

The fourth proportional to 641.60, 961.28 and 584.64 is: 875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.60 : 961.28 = 584.64 : x
  2. Step 2: Convert to fraction form
    641.60/961.28 = 584.64/x
  3. Step 3: Cross multiply
    641.60x = 961.28 × 584.64
  4. Step 4: Simplify right side
    641.60x = 562,002.74
  5. Step 5: Solve for x
    x = 562,002.74/641.60
  6. Step 6: Final answer
    x = 875.94

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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.