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Finding the Fourth Proportional to 788.98, 1,085.40 and 714.46

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Solution

The fourth proportional to 788.98, 1,085.40 and 714.46 is: 982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.98 : 1,085.40 = 714.46 : x
  2. Step 2: Convert to fraction form
    788.98/1,085.40 = 714.46/x
  3. Step 3: Cross multiply
    788.98x = 1,085.40 × 714.46
  4. Step 4: Simplify right side
    788.98x = 775,474.88
  5. Step 5: Solve for x
    x = 775,474.88/788.98
  6. Step 6: Final answer
    x = 982.88

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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.