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Finding the Fourth Proportional to 1,199.64, 1,798.86 and 468.84

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Solution

The fourth proportional to 1,199.64, 1,798.86 and 468.84 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.64 : 1,798.86 = 468.84 : x
  2. Step 2: Convert to fraction form
    1,199.64/1,798.86 = 468.84/x
  3. Step 3: Cross multiply
    1,199.64x = 1,798.86 × 468.84
  4. Step 4: Simplify right side
    1,199.64x = 843,377.52
  5. Step 5: Solve for x
    x = 843,377.52/1,199.64
  6. Step 6: Final answer
    x = 703.03

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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.