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Finding the Fourth Proportional to 661.10, 994.05 and 646.70

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Solution

The fourth proportional to 661.10, 994.05 and 646.70 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.10 : 994.05 = 646.70 : x
  2. Step 2: Convert to fraction form
    661.10/994.05 = 646.70/x
  3. Step 3: Cross multiply
    661.10x = 994.05 × 646.70
  4. Step 4: Simplify right side
    661.10x = 642,852.14
  5. Step 5: Solve for x
    x = 642,852.14/661.10
  6. Step 6: Final answer
    x = 972.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.