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Finding the Fourth Proportional to 914.15, 1,258.31 and 842.46

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Solution

The fourth proportional to 914.15, 1,258.31 and 842.46 is: 1,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.15 : 1,258.31 = 842.46 : x
  2. Step 2: Convert to fraction form
    914.15/1,258.31 = 842.46/x
  3. Step 3: Cross multiply
    914.15x = 1,258.31 × 842.46
  4. Step 4: Simplify right side
    914.15x = 1,060,077.95
  5. Step 5: Solve for x
    x = 1,060,077.95/914.15
  6. Step 6: Final answer
    x = 1,159.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.