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Finding the Fourth Proportional to 1,437.96, 2,156.40 and 450.66

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Solution

The fourth proportional to 1,437.96, 2,156.40 and 450.66 is: 675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.96 : 2,156.40 = 450.66 : x
  2. Step 2: Convert to fraction form
    1,437.96/2,156.40 = 450.66/x
  3. Step 3: Cross multiply
    1,437.96x = 2,156.40 × 450.66
  4. Step 4: Simplify right side
    1,437.96x = 971,803.22
  5. Step 5: Solve for x
    x = 971,803.22/1,437.96
  6. Step 6: Final answer
    x = 675.82

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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.