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Finding the Fourth Proportional to 713.79, 1,069.88 and 302.67

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Solution

The fourth proportional to 713.79, 1,069.88 and 302.67 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.79 : 1,069.88 = 302.67 : x
  2. Step 2: Convert to fraction form
    713.79/1,069.88 = 302.67/x
  3. Step 3: Cross multiply
    713.79x = 1,069.88 × 302.67
  4. Step 4: Simplify right side
    713.79x = 323,819.07
  5. Step 5: Solve for x
    x = 323,819.07/713.79
  6. Step 6: Final answer
    x = 453.66

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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.