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Finding the Fourth Proportional to 1,403.24, 2,104.85 and 582.08

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Solution

The fourth proportional to 1,403.24, 2,104.85 and 582.08 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.24 : 2,104.85 = 582.08 : x
  2. Step 2: Convert to fraction form
    1,403.24/2,104.85 = 582.08/x
  3. Step 3: Cross multiply
    1,403.24x = 2,104.85 × 582.08
  4. Step 4: Simplify right side
    1,403.24x = 1,225,191.09
  5. Step 5: Solve for x
    x = 1,225,191.09/1,403.24
  6. Step 6: Final answer
    x = 873.12

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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.