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Finding the Fourth Proportional to 1,140.37, 1,709.75 and 583.71

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Solution

The fourth proportional to 1,140.37, 1,709.75 and 583.71 is: 875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.37 : 1,709.75 = 583.71 : x
  2. Step 2: Convert to fraction form
    1,140.37/1,709.75 = 583.71/x
  3. Step 3: Cross multiply
    1,140.37x = 1,709.75 × 583.71
  4. Step 4: Simplify right side
    1,140.37x = 997,993.22
  5. Step 5: Solve for x
    x = 997,993.22/1,140.37
  6. Step 6: Final answer
    x = 875.15

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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.