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Finding the Fourth Proportional to 1,188.14, 1,782.36 and 407.93

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Solution

The fourth proportional to 1,188.14, 1,782.36 and 407.93 is: 611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.14 : 1,782.36 = 407.93 : x
  2. Step 2: Convert to fraction form
    1,188.14/1,782.36 = 407.93/x
  3. Step 3: Cross multiply
    1,188.14x = 1,782.36 × 407.93
  4. Step 4: Simplify right side
    1,188.14x = 727,078.11
  5. Step 5: Solve for x
    x = 727,078.11/1,188.14
  6. Step 6: Final answer
    x = 611.95

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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.