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Finding the Fourth Proportional to 1,190.00, 1,784.93 and 324.32

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Solution

The fourth proportional to 1,190.00, 1,784.93 and 324.32 is: 486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.00 : 1,784.93 = 324.32 : x
  2. Step 2: Convert to fraction form
    1,190.00/1,784.93 = 324.32/x
  3. Step 3: Cross multiply
    1,190.00x = 1,784.93 × 324.32
  4. Step 4: Simplify right side
    1,190.00x = 578,877.95
  5. Step 5: Solve for x
    x = 578,877.95/1,190.00
  6. Step 6: Final answer
    x = 486.45

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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.