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Finding the Fourth Proportional to 941.13, 1,298.75 and 527.13

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Solution

The fourth proportional to 941.13, 1,298.75 and 527.13 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.13 : 1,298.75 = 527.13 : x
  2. Step 2: Convert to fraction form
    941.13/1,298.75 = 527.13/x
  3. Step 3: Cross multiply
    941.13x = 1,298.75 × 527.13
  4. Step 4: Simplify right side
    941.13x = 684,610.09
  5. Step 5: Solve for x
    x = 684,610.09/941.13
  6. Step 6: Final answer
    x = 727.43

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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.