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Finding the Fourth Proportional to 1,433.06, 1,977.49 and 812.06

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Solution

The fourth proportional to 1,433.06, 1,977.49 and 812.06 is: 1,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.06 : 1,977.49 = 812.06 : x
  2. Step 2: Convert to fraction form
    1,433.06/1,977.49 = 812.06/x
  3. Step 3: Cross multiply
    1,433.06x = 1,977.49 × 812.06
  4. Step 4: Simplify right side
    1,433.06x = 1,605,840.53
  5. Step 5: Solve for x
    x = 1,605,840.53/1,433.06
  6. Step 6: Final answer
    x = 1,120.57

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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.