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Finding the Fourth Proportional to 1,733.51, 2,599.44 and 578.45

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Solution

The fourth proportional to 1,733.51, 2,599.44 and 578.45 is: 867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.51 : 2,599.44 = 578.45 : x
  2. Step 2: Convert to fraction form
    1,733.51/2,599.44 = 578.45/x
  3. Step 3: Cross multiply
    1,733.51x = 2,599.44 × 578.45
  4. Step 4: Simplify right side
    1,733.51x = 1,503,633.07
  5. Step 5: Solve for x
    x = 1,503,633.07/1,733.51
  6. Step 6: Final answer
    x = 867.39

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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.