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Finding the Fourth Proportional to 1,443.56, 2,165.25 and 417.56

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Solution

The fourth proportional to 1,443.56, 2,165.25 and 417.56 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.56 : 2,165.25 = 417.56 : x
  2. Step 2: Convert to fraction form
    1,443.56/2,165.25 = 417.56/x
  3. Step 3: Cross multiply
    1,443.56x = 2,165.25 × 417.56
  4. Step 4: Simplify right side
    1,443.56x = 904,121.79
  5. Step 5: Solve for x
    x = 904,121.79/1,443.56
  6. Step 6: Final answer
    x = 626.31

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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.