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Finding the Fourth Proportional to 717.13, 1,074.29 and 341.35

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Solution

The fourth proportional to 717.13, 1,074.29 and 341.35 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.13 : 1,074.29 = 341.35 : x
  2. Step 2: Convert to fraction form
    717.13/1,074.29 = 341.35/x
  3. Step 3: Cross multiply
    717.13x = 1,074.29 × 341.35
  4. Step 4: Simplify right side
    717.13x = 366,707.06
  5. Step 5: Solve for x
    x = 366,707.06/717.13
  6. Step 6: Final answer
    x = 511.36

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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.