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Finding the Fourth Proportional to 1,022.81, 1,533.73 and 612.14

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Solution

The fourth proportional to 1,022.81, 1,533.73 and 612.14 is: 917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.81 : 1,533.73 = 612.14 : x
  2. Step 2: Convert to fraction form
    1,022.81/1,533.73 = 612.14/x
  3. Step 3: Cross multiply
    1,022.81x = 1,533.73 × 612.14
  4. Step 4: Simplify right side
    1,022.81x = 938,857.48
  5. Step 5: Solve for x
    x = 938,857.48/1,022.81
  6. Step 6: Final answer
    x = 917.92

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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.