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Finding the Fourth Proportional to 1,188.33, 1,782.33 and 366.63

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Solution

The fourth proportional to 1,188.33, 1,782.33 and 366.63 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.33 : 1,782.33 = 366.63 : x
  2. Step 2: Convert to fraction form
    1,188.33/1,782.33 = 366.63/x
  3. Step 3: Cross multiply
    1,188.33x = 1,782.33 × 366.63
  4. Step 4: Simplify right side
    1,188.33x = 653,455.65
  5. Step 5: Solve for x
    x = 653,455.65/1,188.33
  6. Step 6: Final answer
    x = 549.89

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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.