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Finding the Fourth Proportional to 1,429.34, 1,972.22 and 839.66

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Solution

The fourth proportional to 1,429.34, 1,972.22 and 839.66 is: 1,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.34 : 1,972.22 = 839.66 : x
  2. Step 2: Convert to fraction form
    1,429.34/1,972.22 = 839.66/x
  3. Step 3: Cross multiply
    1,429.34x = 1,972.22 × 839.66
  4. Step 4: Simplify right side
    1,429.34x = 1,655,980.19
  5. Step 5: Solve for x
    x = 1,655,980.19/1,429.34
  6. Step 6: Final answer
    x = 1,158.57

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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.