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Finding the Fourth Proportional to 826.40, 1,140.64 and 546.50

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Solution

The fourth proportional to 826.40, 1,140.64 and 546.50 is: 754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.40 : 1,140.64 = 546.50 : x
  2. Step 2: Convert to fraction form
    826.40/1,140.64 = 546.50/x
  3. Step 3: Cross multiply
    826.40x = 1,140.64 × 546.50
  4. Step 4: Simplify right side
    826.40x = 623,359.76
  5. Step 5: Solve for x
    x = 623,359.76/826.40
  6. Step 6: Final answer
    x = 754.31

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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.