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Finding the Fourth Proportional to 1,235.10, 1,853.56 and 586.28

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Solution

The fourth proportional to 1,235.10, 1,853.56 and 586.28 is: 879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.10 : 1,853.56 = 586.28 : x
  2. Step 2: Convert to fraction form
    1,235.10/1,853.56 = 586.28/x
  3. Step 3: Cross multiply
    1,235.10x = 1,853.56 × 586.28
  4. Step 4: Simplify right side
    1,235.10x = 1,086,705.16
  5. Step 5: Solve for x
    x = 1,086,705.16/1,235.10
  6. Step 6: Final answer
    x = 879.85

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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.