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Finding the Fourth Proportional to 826.65, 1,140.78 and 453.63

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Solution

The fourth proportional to 826.65, 1,140.78 and 453.63 is: 626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,140.78 = 453.63 : x
  2. Step 2: Convert to fraction form
    826.65/1,140.78 = 453.63/x
  3. Step 3: Cross multiply
    826.65x = 1,140.78 × 453.63
  4. Step 4: Simplify right side
    826.65x = 517,497.37
  5. Step 5: Solve for x
    x = 517,497.37/826.65
  6. Step 6: Final answer
    x = 626.02

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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.