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Finding the Fourth Proportional to 686.92, 1,030.16 and 275.84

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Solution

The fourth proportional to 686.92, 1,030.16 and 275.84 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.92 : 1,030.16 = 275.84 : x
  2. Step 2: Convert to fraction form
    686.92/1,030.16 = 275.84/x
  3. Step 3: Cross multiply
    686.92x = 1,030.16 × 275.84
  4. Step 4: Simplify right side
    686.92x = 284,159.33
  5. Step 5: Solve for x
    x = 284,159.33/686.92
  6. Step 6: Final answer
    x = 413.67

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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.