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Finding the Fourth Proportional to 1,437.56, 2,156.35 and 397.62

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Solution

The fourth proportional to 1,437.56, 2,156.35 and 397.62 is: 596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.56 : 2,156.35 = 397.62 : x
  2. Step 2: Convert to fraction form
    1,437.56/2,156.35 = 397.62/x
  3. Step 3: Cross multiply
    1,437.56x = 2,156.35 × 397.62
  4. Step 4: Simplify right side
    1,437.56x = 857,406.89
  5. Step 5: Solve for x
    x = 857,406.89/1,437.56
  6. Step 6: Final answer
    x = 596.43

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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.