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Finding the Fourth Proportional to 1,437.62, 1,983.78 and 808.20

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Solution

The fourth proportional to 1,437.62, 1,983.78 and 808.20 is: 1,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.62 : 1,983.78 = 808.20 : x
  2. Step 2: Convert to fraction form
    1,437.62/1,983.78 = 808.20/x
  3. Step 3: Cross multiply
    1,437.62x = 1,983.78 × 808.20
  4. Step 4: Simplify right side
    1,437.62x = 1,603,291.00
  5. Step 5: Solve for x
    x = 1,603,291.00/1,437.62
  6. Step 6: Final answer
    x = 1,115.24

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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.