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Finding the Fourth Proportional to 1,452.58, 2,004.61 and 823.10

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Solution

The fourth proportional to 1,452.58, 2,004.61 and 823.10 is: 1,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.58 : 2,004.61 = 823.10 : x
  2. Step 2: Convert to fraction form
    1,452.58/2,004.61 = 823.10/x
  3. Step 3: Cross multiply
    1,452.58x = 2,004.61 × 823.10
  4. Step 4: Simplify right side
    1,452.58x = 1,649,994.49
  5. Step 5: Solve for x
    x = 1,649,994.49/1,452.58
  6. Step 6: Final answer
    x = 1,135.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.