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Finding the Fourth Proportional to 1,015.12, 1,400.46 and 621.46

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Solution

The fourth proportional to 1,015.12, 1,400.46 and 621.46 is: 857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.12 : 1,400.46 = 621.46 : x
  2. Step 2: Convert to fraction form
    1,015.12/1,400.46 = 621.46/x
  3. Step 3: Cross multiply
    1,015.12x = 1,400.46 × 621.46
  4. Step 4: Simplify right side
    1,015.12x = 870,329.87
  5. Step 5: Solve for x
    x = 870,329.87/1,015.12
  6. Step 6: Final answer
    x = 857.37

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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.