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Finding the Fourth Proportional to 943.95, 1,302.75 and 571.13

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Solution

The fourth proportional to 943.95, 1,302.75 and 571.13 is: 788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.95 : 1,302.75 = 571.13 : x
  2. Step 2: Convert to fraction form
    943.95/1,302.75 = 571.13/x
  3. Step 3: Cross multiply
    943.95x = 1,302.75 × 571.13
  4. Step 4: Simplify right side
    943.95x = 744,044.89
  5. Step 5: Solve for x
    x = 744,044.89/943.95
  6. Step 6: Final answer
    x = 788.23

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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.