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Finding the Fourth Proportional to 941.53, 1,298.48 and 609.63

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Solution

The fourth proportional to 941.53, 1,298.48 and 609.63 is: 840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.53 : 1,298.48 = 609.63 : x
  2. Step 2: Convert to fraction form
    941.53/1,298.48 = 609.63/x
  3. Step 3: Cross multiply
    941.53x = 1,298.48 × 609.63
  4. Step 4: Simplify right side
    941.53x = 791,593.89
  5. Step 5: Solve for x
    x = 791,593.89/941.53
  6. Step 6: Final answer
    x = 840.75

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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.