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Finding the Fourth Proportional to 1,558.29, 2,150.47 and 859.66

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Solution

The fourth proportional to 1,558.29, 2,150.47 and 859.66 is: 1,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.29 : 2,150.47 = 859.66 : x
  2. Step 2: Convert to fraction form
    1,558.29/2,150.47 = 859.66/x
  3. Step 3: Cross multiply
    1,558.29x = 2,150.47 × 859.66
  4. Step 4: Simplify right side
    1,558.29x = 1,848,673.04
  5. Step 5: Solve for x
    x = 1,848,673.04/1,558.29
  6. Step 6: Final answer
    x = 1,186.35

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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.