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Finding the Fourth Proportional to 713.79, 1,071.59 and 606.27

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Solution

The fourth proportional to 713.79, 1,071.59 and 606.27 is: 910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.79 : 1,071.59 = 606.27 : x
  2. Step 2: Convert to fraction form
    713.79/1,071.59 = 606.27/x
  3. Step 3: Cross multiply
    713.79x = 1,071.59 × 606.27
  4. Step 4: Simplify right side
    713.79x = 649,669.84
  5. Step 5: Solve for x
    x = 649,669.84/713.79
  6. Step 6: Final answer
    x = 910.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.