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Finding the Fourth Proportional to 1,437.19, 2,155.80 and 397.25

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Solution

The fourth proportional to 1,437.19, 2,155.80 and 397.25 is: 595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.19 : 2,155.80 = 397.25 : x
  2. Step 2: Convert to fraction form
    1,437.19/2,155.80 = 397.25/x
  3. Step 3: Cross multiply
    1,437.19x = 2,155.80 × 397.25
  4. Step 4: Simplify right side
    1,437.19x = 856,391.55
  5. Step 5: Solve for x
    x = 856,391.55/1,437.19
  6. Step 6: Final answer
    x = 595.88

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