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Finding the Fourth Proportional to 1,476.99, 2,216.01 and 928.56

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Solution

The fourth proportional to 1,476.99, 2,216.01 and 928.56 is: 1,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.99 : 2,216.01 = 928.56 : x
  2. Step 2: Convert to fraction form
    1,476.99/2,216.01 = 928.56/x
  3. Step 3: Cross multiply
    1,476.99x = 2,216.01 × 928.56
  4. Step 4: Simplify right side
    1,476.99x = 2,057,698.25
  5. Step 5: Solve for x
    x = 2,057,698.25/1,476.99
  6. Step 6: Final answer
    x = 1,393.17

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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.