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Finding the Fourth Proportional to 1,066.46, 1,599.84 and 335.87

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Solution

The fourth proportional to 1,066.46, 1,599.84 and 335.87 is: 503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.46 : 1,599.84 = 335.87 : x
  2. Step 2: Convert to fraction form
    1,066.46/1,599.84 = 335.87/x
  3. Step 3: Cross multiply
    1,066.46x = 1,599.84 × 335.87
  4. Step 4: Simplify right side
    1,066.46x = 537,330.26
  5. Step 5: Solve for x
    x = 537,330.26/1,066.46
  6. Step 6: Final answer
    x = 503.85

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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.