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Finding the Fourth Proportional to 1,066.33, 1,599.47 and 335.91

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Solution

The fourth proportional to 1,066.33, 1,599.47 and 335.91 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.33 : 1,599.47 = 335.91 : x
  2. Step 2: Convert to fraction form
    1,066.33/1,599.47 = 335.91/x
  3. Step 3: Cross multiply
    1,066.33x = 1,599.47 × 335.91
  4. Step 4: Simplify right side
    1,066.33x = 537,277.97
  5. Step 5: Solve for x
    x = 537,277.97/1,066.33
  6. Step 6: Final answer
    x = 503.86

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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.