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Finding the Fourth Proportional to 660.78, 912.52 and 624.42

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Solution

The fourth proportional to 660.78, 912.52 and 624.42 is: 862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 912.52 = 624.42 : x
  2. Step 2: Convert to fraction form
    660.78/912.52 = 624.42/x
  3. Step 3: Cross multiply
    660.78x = 912.52 × 624.42
  4. Step 4: Simplify right side
    660.78x = 569,795.74
  5. Step 5: Solve for x
    x = 569,795.74/660.78
  6. Step 6: Final answer
    x = 862.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.