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Finding the Fourth Proportional to 713.77, 1,070.69 and 302.85

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Solution

The fourth proportional to 713.77, 1,070.69 and 302.85 is: 454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.77 : 1,070.69 = 302.85 : x
  2. Step 2: Convert to fraction form
    713.77/1,070.69 = 302.85/x
  3. Step 3: Cross multiply
    713.77x = 1,070.69 × 302.85
  4. Step 4: Simplify right side
    713.77x = 324,258.47
  5. Step 5: Solve for x
    x = 324,258.47/713.77
  6. Step 6: Final answer
    x = 454.29

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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.