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Finding the Fourth Proportional to 1,437.58, 1,983.25 and 840.03

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Solution

The fourth proportional to 1,437.58, 1,983.25 and 840.03 is: 1,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.58 : 1,983.25 = 840.03 : x
  2. Step 2: Convert to fraction form
    1,437.58/1,983.25 = 840.03/x
  3. Step 3: Cross multiply
    1,437.58x = 1,983.25 × 840.03
  4. Step 4: Simplify right side
    1,437.58x = 1,665,989.50
  5. Step 5: Solve for x
    x = 1,665,989.50/1,437.58
  6. Step 6: Final answer
    x = 1,158.88

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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.