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Finding the Fourth Proportional to 1,402.06, 1,934.55 and 812.56

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Solution

The fourth proportional to 1,402.06, 1,934.55 and 812.56 is: 1,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.06 : 1,934.55 = 812.56 : x
  2. Step 2: Convert to fraction form
    1,402.06/1,934.55 = 812.56/x
  3. Step 3: Cross multiply
    1,402.06x = 1,934.55 × 812.56
  4. Step 4: Simplify right side
    1,402.06x = 1,571,937.95
  5. Step 5: Solve for x
    x = 1,571,937.95/1,402.06
  6. Step 6: Final answer
    x = 1,121.16

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1.5x scale

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.