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Finding the Fourth Proportional to 1,286.04, 1,929.27 and 593.40

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Solution

The fourth proportional to 1,286.04, 1,929.27 and 593.40 is: 890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.04 : 1,929.27 = 593.40 : x
  2. Step 2: Convert to fraction form
    1,286.04/1,929.27 = 593.40/x
  3. Step 3: Cross multiply
    1,286.04x = 1,929.27 × 593.40
  4. Step 4: Simplify right side
    1,286.04x = 1,144,828.82
  5. Step 5: Solve for x
    x = 1,144,828.82/1,286.04
  6. Step 6: Final answer
    x = 890.20

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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.