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Finding the Fourth Proportional to 1,437.54, 1,983.80 and 808.08

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Solution

The fourth proportional to 1,437.54, 1,983.80 and 808.08 is: 1,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.54 : 1,983.80 = 808.08 : x
  2. Step 2: Convert to fraction form
    1,437.54/1,983.80 = 808.08/x
  3. Step 3: Cross multiply
    1,437.54x = 1,983.80 × 808.08
  4. Step 4: Simplify right side
    1,437.54x = 1,603,065.06
  5. Step 5: Solve for x
    x = 1,603,065.06/1,437.54
  6. Step 6: Final answer
    x = 1,115.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.