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Finding the Fourth Proportional to 1,131.17, 1,697.25 and 583.74

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Solution

The fourth proportional to 1,131.17, 1,697.25 and 583.74 is: 875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.17 : 1,697.25 = 583.74 : x
  2. Step 2: Convert to fraction form
    1,131.17/1,697.25 = 583.74/x
  3. Step 3: Cross multiply
    1,131.17x = 1,697.25 × 583.74
  4. Step 4: Simplify right side
    1,131.17x = 990,752.72
  5. Step 5: Solve for x
    x = 990,752.72/1,131.17
  6. Step 6: Final answer
    x = 875.86

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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.