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Finding the Fourth Proportional to 1,066.32, 1,599.71 and 335.93

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Solution

The fourth proportional to 1,066.32, 1,599.71 and 335.93 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.32 : 1,599.71 = 335.93 : x
  2. Step 2: Convert to fraction form
    1,066.32/1,599.71 = 335.93/x
  3. Step 3: Cross multiply
    1,066.32x = 1,599.71 × 335.93
  4. Step 4: Simplify right side
    1,066.32x = 537,380.90
  5. Step 5: Solve for x
    x = 537,380.90/1,066.32
  6. Step 6: Final answer
    x = 503.96

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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.