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Finding the Fourth Proportional to 660.10, 898.47 and 660.10

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Solution

The fourth proportional to 660.10, 898.47 and 660.10 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 898.47 = 660.10 : x
  2. Step 2: Convert to fraction form
    660.10/898.47 = 660.10/x
  3. Step 3: Cross multiply
    660.10x = 898.47 × 660.10
  4. Step 4: Simplify right side
    660.10x = 593,080.05
  5. Step 5: Solve for x
    x = 593,080.05/660.10
  6. Step 6: Final answer
    x = 898.47

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.