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Finding the Fourth Proportional to 941.16, 1,298.52 and 591.60

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Solution

The fourth proportional to 941.16, 1,298.52 and 591.60 is: 816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.16 : 1,298.52 = 591.60 : x
  2. Step 2: Convert to fraction form
    941.16/1,298.52 = 591.60/x
  3. Step 3: Cross multiply
    941.16x = 1,298.52 × 591.60
  4. Step 4: Simplify right side
    941.16x = 768,204.43
  5. Step 5: Solve for x
    x = 768,204.43/941.16
  6. Step 6: Final answer
    x = 816.23

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Why These Related Problems?

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