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Finding the Fourth Proportional to 624.60, 936.10 and 585.72

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Solution

The fourth proportional to 624.60, 936.10 and 585.72 is: 877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 936.10 = 585.72 : x
  2. Step 2: Convert to fraction form
    624.60/936.10 = 585.72/x
  3. Step 3: Cross multiply
    624.60x = 936.10 × 585.72
  4. Step 4: Simplify right side
    624.60x = 548,292.49
  5. Step 5: Solve for x
    x = 548,292.49/624.60
  6. Step 6: Final answer
    x = 877.83

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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.