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Finding the Fourth Proportional to 948.75, 1,422.86 and 686.58

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Solution

The fourth proportional to 948.75, 1,422.86 and 686.58 is: 1,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.75 : 1,422.86 = 686.58 : x
  2. Step 2: Convert to fraction form
    948.75/1,422.86 = 686.58/x
  3. Step 3: Cross multiply
    948.75x = 1,422.86 × 686.58
  4. Step 4: Simplify right side
    948.75x = 976,903.79
  5. Step 5: Solve for x
    x = 976,903.79/948.75
  6. Step 6: Final answer
    x = 1,029.67

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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.