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Finding the Fourth Proportional to 645.33, 966.87 and 624.06

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Solution

The fourth proportional to 645.33, 966.87 and 624.06 is: 935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.33 : 966.87 = 624.06 : x
  2. Step 2: Convert to fraction form
    645.33/966.87 = 624.06/x
  3. Step 3: Cross multiply
    645.33x = 966.87 × 624.06
  4. Step 4: Simplify right side
    645.33x = 603,384.89
  5. Step 5: Solve for x
    x = 603,384.89/645.33
  6. Step 6: Final answer
    x = 935.00

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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.