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Finding the Fourth Proportional to 826.10, 1,140.04 and 511.42

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Solution

The fourth proportional to 826.10, 1,140.04 and 511.42 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.10 : 1,140.04 = 511.42 : x
  2. Step 2: Convert to fraction form
    826.10/1,140.04 = 511.42/x
  3. Step 3: Cross multiply
    826.10x = 1,140.04 × 511.42
  4. Step 4: Simplify right side
    826.10x = 583,039.26
  5. Step 5: Solve for x
    x = 583,039.26/826.10
  6. Step 6: Final answer
    x = 705.77

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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.