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Finding the Fourth Proportional to 990.70, 1,485.83 and 646.45

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Solution

The fourth proportional to 990.70, 1,485.83 and 646.45 is: 969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.70 : 1,485.83 = 646.45 : x
  2. Step 2: Convert to fraction form
    990.70/1,485.83 = 646.45/x
  3. Step 3: Cross multiply
    990.70x = 1,485.83 × 646.45
  4. Step 4: Simplify right side
    990.70x = 960,512.71
  5. Step 5: Solve for x
    x = 960,512.71/990.70
  6. Step 6: Final answer
    x = 969.53

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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.