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Finding the Fourth Proportional to 1,429.05, 1,971.36 and 932.52

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Solution

The fourth proportional to 1,429.05, 1,971.36 and 932.52 is: 1,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.05 : 1,971.36 = 932.52 : x
  2. Step 2: Convert to fraction form
    1,429.05/1,971.36 = 932.52/x
  3. Step 3: Cross multiply
    1,429.05x = 1,971.36 × 932.52
  4. Step 4: Simplify right side
    1,429.05x = 1,838,332.63
  5. Step 5: Solve for x
    x = 1,838,332.63/1,429.05
  6. Step 6: Final answer
    x = 1,286.40

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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.