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Finding the Fourth Proportional to 826.65, 1,140.30 and 511.68

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Solution

The fourth proportional to 826.65, 1,140.30 and 511.68 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,140.30 = 511.68 : x
  2. Step 2: Convert to fraction form
    826.65/1,140.30 = 511.68/x
  3. Step 3: Cross multiply
    826.65x = 1,140.30 × 511.68
  4. Step 4: Simplify right side
    826.65x = 583,468.70
  5. Step 5: Solve for x
    x = 583,468.70/826.65
  6. Step 6: Final answer
    x = 705.82

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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.