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Finding the Fourth Proportional to 1,131.36, 1,697.24 and 583.39

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Solution

The fourth proportional to 1,131.36, 1,697.24 and 583.39 is: 875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.36 : 1,697.24 = 583.39 : x
  2. Step 2: Convert to fraction form
    1,131.36/1,697.24 = 583.39/x
  3. Step 3: Cross multiply
    1,131.36x = 1,697.24 × 583.39
  4. Step 4: Simplify right side
    1,131.36x = 990,152.84
  5. Step 5: Solve for x
    x = 990,152.84/1,131.36
  6. Step 6: Final answer
    x = 875.19

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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.