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Finding the Fourth Proportional to 826.56, 1,240.16 and 340

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Solution

The fourth proportional to 826.56, 1,240.16 and 340 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,240.16 = 340 : x
  2. Step 2: Convert to fraction form
    826.56/1,240.16 = 340/x
  3. Step 3: Cross multiply
    826.56x = 1,240.16 × 340
  4. Step 4: Simplify right side
    826.56x = 421,654.40
  5. Step 5: Solve for x
    x = 421,654.40/826.56
  6. Step 6: Final answer
    x = 510.13

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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.