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Finding the Fourth Proportional to 1,162.84, 1,604.88 and 714.76

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Solution

The fourth proportional to 1,162.84, 1,604.88 and 714.76 is: 986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.84 : 1,604.88 = 714.76 : x
  2. Step 2: Convert to fraction form
    1,162.84/1,604.88 = 714.76/x
  3. Step 3: Cross multiply
    1,162.84x = 1,604.88 × 714.76
  4. Step 4: Simplify right side
    1,162.84x = 1,147,104.03
  5. Step 5: Solve for x
    x = 1,147,104.03/1,162.84
  6. Step 6: Final answer
    x = 986.47

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