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Finding the Fourth Proportional to 1,022.66, 1,533.98 and 474.77

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Solution

The fourth proportional to 1,022.66, 1,533.98 and 474.77 is: 712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.66 : 1,533.98 = 474.77 : x
  2. Step 2: Convert to fraction form
    1,022.66/1,533.98 = 474.77/x
  3. Step 3: Cross multiply
    1,022.66x = 1,533.98 × 474.77
  4. Step 4: Simplify right side
    1,022.66x = 728,277.64
  5. Step 5: Solve for x
    x = 728,277.64/1,022.66
  6. Step 6: Final answer
    x = 712.14

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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.