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Finding the Fourth Proportional to 745.93, 1,118.90 and 583.75

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Solution

The fourth proportional to 745.93, 1,118.90 and 583.75 is: 875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.93 : 1,118.90 = 583.75 : x
  2. Step 2: Convert to fraction form
    745.93/1,118.90 = 583.75/x
  3. Step 3: Cross multiply
    745.93x = 1,118.90 × 583.75
  4. Step 4: Simplify right side
    745.93x = 653,157.88
  5. Step 5: Solve for x
    x = 653,157.88/745.93
  6. Step 6: Final answer
    x = 875.63

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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.