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Finding the Fourth Proportional to 1,483.83, 2,225.88 and 388.19

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Solution

The fourth proportional to 1,483.83, 2,225.88 and 388.19 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.83 : 2,225.88 = 388.19 : x
  2. Step 2: Convert to fraction form
    1,483.83/2,225.88 = 388.19/x
  3. Step 3: Cross multiply
    1,483.83x = 2,225.88 × 388.19
  4. Step 4: Simplify right side
    1,483.83x = 864,062.42
  5. Step 5: Solve for x
    x = 864,062.42/1,483.83
  6. Step 6: Final answer
    x = 582.32

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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.