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Finding the Fourth Proportional to 713.88, 1,069.74 and 328.68

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Solution

The fourth proportional to 713.88, 1,069.74 and 328.68 is: 492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 1,069.74 = 328.68 : x
  2. Step 2: Convert to fraction form
    713.88/1,069.74 = 328.68/x
  3. Step 3: Cross multiply
    713.88x = 1,069.74 × 328.68
  4. Step 4: Simplify right side
    713.88x = 351,602.14
  5. Step 5: Solve for x
    x = 351,602.14/713.88
  6. Step 6: Final answer
    x = 492.52

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Why These Related Problems?

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