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Finding the Fourth Proportional to 941.97, 1,300.05 and 569.19

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Solution

The fourth proportional to 941.97, 1,300.05 and 569.19 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.97 : 1,300.05 = 569.19 : x
  2. Step 2: Convert to fraction form
    941.97/1,300.05 = 569.19/x
  3. Step 3: Cross multiply
    941.97x = 1,300.05 × 569.19
  4. Step 4: Simplify right side
    941.97x = 739,975.46
  5. Step 5: Solve for x
    x = 739,975.46/941.97
  6. Step 6: Final answer
    x = 785.56

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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.