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Finding the Fourth Proportional to 1,443.15, 2,164.10 and 518.54

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Solution

The fourth proportional to 1,443.15, 2,164.10 and 518.54 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.15 : 2,164.10 = 518.54 : x
  2. Step 2: Convert to fraction form
    1,443.15/2,164.10 = 518.54/x
  3. Step 3: Cross multiply
    1,443.15x = 2,164.10 × 518.54
  4. Step 4: Simplify right side
    1,443.15x = 1,122,159.00
  5. Step 5: Solve for x
    x = 1,122,159.00/1,443.15
  6. Step 6: Final answer
    x = 777.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.