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Finding the Fourth Proportional to 826.16, 1,140.01 and 472.05

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Solution

The fourth proportional to 826.16, 1,140.01 and 472.05 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.16 : 1,140.01 = 472.05 : x
  2. Step 2: Convert to fraction form
    826.16/1,140.01 = 472.05/x
  3. Step 3: Cross multiply
    826.16x = 1,140.01 × 472.05
  4. Step 4: Simplify right side
    826.16x = 538,140.54
  5. Step 5: Solve for x
    x = 538,140.54/826.16
  6. Step 6: Final answer
    x = 651.38

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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.