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Finding the Fourth Proportional to 1,135.75, 1,703.26 and 366.07

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Solution

The fourth proportional to 1,135.75, 1,703.26 and 366.07 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.75 : 1,703.26 = 366.07 : x
  2. Step 2: Convert to fraction form
    1,135.75/1,703.26 = 366.07/x
  3. Step 3: Cross multiply
    1,135.75x = 1,703.26 × 366.07
  4. Step 4: Simplify right side
    1,135.75x = 623,502.04
  5. Step 5: Solve for x
    x = 623,502.04/1,135.75
  6. Step 6: Final answer
    x = 548.98

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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.