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Finding the Fourth Proportional to 941.04, 1,298.34 and 591.66

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Solution

The fourth proportional to 941.04, 1,298.34 and 591.66 is: 816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.04 : 1,298.34 = 591.66 : x
  2. Step 2: Convert to fraction form
    941.04/1,298.34 = 591.66/x
  3. Step 3: Cross multiply
    941.04x = 1,298.34 × 591.66
  4. Step 4: Simplify right side
    941.04x = 768,175.84
  5. Step 5: Solve for x
    x = 768,175.84/941.04
  6. Step 6: Final answer
    x = 816.31

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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.