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Finding the Fourth Proportional to 1,427.93, 1,970.39 and 806.93

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Solution

The fourth proportional to 1,427.93, 1,970.39 and 806.93 is: 1,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.93 : 1,970.39 = 806.93 : x
  2. Step 2: Convert to fraction form
    1,427.93/1,970.39 = 806.93/x
  3. Step 3: Cross multiply
    1,427.93x = 1,970.39 × 806.93
  4. Step 4: Simplify right side
    1,427.93x = 1,589,962.77
  5. Step 5: Solve for x
    x = 1,589,962.77/1,427.93
  6. Step 6: Final answer
    x = 1,113.47

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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.