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Finding the Fourth Proportional to 1,233.42, 1,699.23 and 859.73

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Solution

The fourth proportional to 1,233.42, 1,699.23 and 859.73 is: 1,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.42 : 1,699.23 = 859.73 : x
  2. Step 2: Convert to fraction form
    1,233.42/1,699.23 = 859.73/x
  3. Step 3: Cross multiply
    1,233.42x = 1,699.23 × 859.73
  4. Step 4: Simplify right side
    1,233.42x = 1,460,870.51
  5. Step 5: Solve for x
    x = 1,460,870.51/1,233.42
  6. Step 6: Final answer
    x = 1,184.41

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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.