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Finding the Fourth Proportional to 1,402.47, 1,935.36 and 812.88

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Solution

The fourth proportional to 1,402.47, 1,935.36 and 812.88 is: 1,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.47 : 1,935.36 = 812.88 : x
  2. Step 2: Convert to fraction form
    1,402.47/1,935.36 = 812.88/x
  3. Step 3: Cross multiply
    1,402.47x = 1,935.36 × 812.88
  4. Step 4: Simplify right side
    1,402.47x = 1,573,215.44
  5. Step 5: Solve for x
    x = 1,573,215.44/1,402.47
  6. Step 6: Final answer
    x = 1,121.75

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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.