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Finding the Fourth Proportional to 1,060.10, 1,461.21 and 826.82

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Solution

The fourth proportional to 1,060.10, 1,461.21 and 826.82 is: 1,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.10 : 1,461.21 = 826.82 : x
  2. Step 2: Convert to fraction form
    1,060.10/1,461.21 = 826.82/x
  3. Step 3: Cross multiply
    1,060.10x = 1,461.21 × 826.82
  4. Step 4: Simplify right side
    1,060.10x = 1,208,157.65
  5. Step 5: Solve for x
    x = 1,208,157.65/1,060.10
  6. Step 6: Final answer
    x = 1,139.66

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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.