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Finding the Fourth Proportional to 1,190.01, 1,784.75 and 459.39

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Solution

The fourth proportional to 1,190.01, 1,784.75 and 459.39 is: 688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.01 : 1,784.75 = 459.39 : x
  2. Step 2: Convert to fraction form
    1,190.01/1,784.75 = 459.39/x
  3. Step 3: Cross multiply
    1,190.01x = 1,784.75 × 459.39
  4. Step 4: Simplify right side
    1,190.01x = 819,894.01
  5. Step 5: Solve for x
    x = 819,894.01/1,190.01
  6. Step 6: Final answer
    x = 688.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.