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Finding the Fourth Proportional to 830.56, 1,145.44 and 609.48

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Solution

The fourth proportional to 830.56, 1,145.44 and 609.48 is: 840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.56 : 1,145.44 = 609.48 : x
  2. Step 2: Convert to fraction form
    830.56/1,145.44 = 609.48/x
  3. Step 3: Cross multiply
    830.56x = 1,145.44 × 609.48
  4. Step 4: Simplify right side
    830.56x = 698,122.77
  5. Step 5: Solve for x
    x = 698,122.77/830.56
  6. Step 6: Final answer
    x = 840.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.