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Finding the Fourth Proportional to 1,065.82, 1,599.05 and 335.40

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Solution

The fourth proportional to 1,065.82, 1,599.05 and 335.40 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.82 : 1,599.05 = 335.40 : x
  2. Step 2: Convert to fraction form
    1,065.82/1,599.05 = 335.40/x
  3. Step 3: Cross multiply
    1,065.82x = 1,599.05 × 335.40
  4. Step 4: Simplify right side
    1,065.82x = 536,321.37
  5. Step 5: Solve for x
    x = 536,321.37/1,065.82
  6. Step 6: Final answer
    x = 503.20

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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.