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Finding the Fourth Proportional to 1,315.93, 1,974.56 and 730.95

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Solution

The fourth proportional to 1,315.93, 1,974.56 and 730.95 is: 1,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.93 : 1,974.56 = 730.95 : x
  2. Step 2: Convert to fraction form
    1,315.93/1,974.56 = 730.95/x
  3. Step 3: Cross multiply
    1,315.93x = 1,974.56 × 730.95
  4. Step 4: Simplify right side
    1,315.93x = 1,443,304.63
  5. Step 5: Solve for x
    x = 1,443,304.63/1,315.93
  6. Step 6: Final answer
    x = 1,096.79

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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.