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Finding the Fourth Proportional to 958.08, 1,430.56 and 842.88

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Solution

The fourth proportional to 958.08, 1,430.56 and 842.88 is: 1,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.08 : 1,430.56 = 842.88 : x
  2. Step 2: Convert to fraction form
    958.08/1,430.56 = 842.88/x
  3. Step 3: Cross multiply
    958.08x = 1,430.56 × 842.88
  4. Step 4: Simplify right side
    958.08x = 1,205,790.41
  5. Step 5: Solve for x
    x = 1,205,790.41/958.08
  6. Step 6: Final answer
    x = 1,258.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.