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Finding the Fourth Proportional to 1,133.14, 1,699.98 and 402.66

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Solution

The fourth proportional to 1,133.14, 1,699.98 and 402.66 is: 604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.14 : 1,699.98 = 402.66 : x
  2. Step 2: Convert to fraction form
    1,133.14/1,699.98 = 402.66/x
  3. Step 3: Cross multiply
    1,133.14x = 1,699.98 × 402.66
  4. Step 4: Simplify right side
    1,133.14x = 684,513.95
  5. Step 5: Solve for x
    x = 684,513.95/1,133.14
  6. Step 6: Final answer
    x = 604.09

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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.