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Finding the Fourth Proportional to 1,402.18, 1,934.75 and 812.63

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Solution

The fourth proportional to 1,402.18, 1,934.75 and 812.63 is: 1,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.18 : 1,934.75 = 812.63 : x
  2. Step 2: Convert to fraction form
    1,402.18/1,934.75 = 812.63/x
  3. Step 3: Cross multiply
    1,402.18x = 1,934.75 × 812.63
  4. Step 4: Simplify right side
    1,402.18x = 1,572,242.76
  5. Step 5: Solve for x
    x = 1,572,242.76/1,402.18
  6. Step 6: Final answer
    x = 1,121.29

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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.