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Finding the Fourth Proportional to 1,038.58, 1,433.76 and 645.73

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Solution

The fourth proportional to 1,038.58, 1,433.76 and 645.73 is: 891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.58 : 1,433.76 = 645.73 : x
  2. Step 2: Convert to fraction form
    1,038.58/1,433.76 = 645.73/x
  3. Step 3: Cross multiply
    1,038.58x = 1,433.76 × 645.73
  4. Step 4: Simplify right side
    1,038.58x = 925,821.84
  5. Step 5: Solve for x
    x = 925,821.84/1,038.58
  6. Step 6: Final answer
    x = 891.43

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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.