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Finding the Fourth Proportional to 1,065.86, 1,599.10 and 335.58

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Solution

The fourth proportional to 1,065.86, 1,599.10 and 335.58 is: 503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.86 : 1,599.10 = 335.58 : x
  2. Step 2: Convert to fraction form
    1,065.86/1,599.10 = 335.58/x
  3. Step 3: Cross multiply
    1,065.86x = 1,599.10 × 335.58
  4. Step 4: Simplify right side
    1,065.86x = 536,625.98
  5. Step 5: Solve for x
    x = 536,625.98/1,065.86
  6. Step 6: Final answer
    x = 503.47

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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.