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Finding the Fourth Proportional to 826.75, 1,140.99 and 477.51

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Solution

The fourth proportional to 826.75, 1,140.99 and 477.51 is: 659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.75 : 1,140.99 = 477.51 : x
  2. Step 2: Convert to fraction form
    826.75/1,140.99 = 477.51/x
  3. Step 3: Cross multiply
    826.75x = 1,140.99 × 477.51
  4. Step 4: Simplify right side
    826.75x = 544,834.13
  5. Step 5: Solve for x
    x = 544,834.13/826.75
  6. Step 6: Final answer
    x = 659.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.