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Finding the Fourth Proportional to 660.09, 912.66 and 578.08

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Solution

The fourth proportional to 660.09, 912.66 and 578.08 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.09 : 912.66 = 578.08 : x
  2. Step 2: Convert to fraction form
    660.09/912.66 = 578.08/x
  3. Step 3: Cross multiply
    660.09x = 912.66 × 578.08
  4. Step 4: Simplify right side
    660.09x = 527,585.93
  5. Step 5: Solve for x
    x = 527,585.93/660.09
  6. Step 6: Final answer
    x = 799.27

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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.