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Finding the Fourth Proportional to 1,302.57, 1,797.54 and 713.11

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Solution

The fourth proportional to 1,302.57, 1,797.54 and 713.11 is: 984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.57 : 1,797.54 = 713.11 : x
  2. Step 2: Convert to fraction form
    1,302.57/1,797.54 = 713.11/x
  3. Step 3: Cross multiply
    1,302.57x = 1,797.54 × 713.11
  4. Step 4: Simplify right side
    1,302.57x = 1,281,839.26
  5. Step 5: Solve for x
    x = 1,281,839.26/1,302.57
  6. Step 6: Final answer
    x = 984.08

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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.