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Finding the Fourth Proportional to 1,300.34, 1,794.24 and 733.14

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Solution

The fourth proportional to 1,300.34, 1,794.24 and 733.14 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.34 : 1,794.24 = 733.14 : x
  2. Step 2: Convert to fraction form
    1,300.34/1,794.24 = 733.14/x
  3. Step 3: Cross multiply
    1,300.34x = 1,794.24 × 733.14
  4. Step 4: Simplify right side
    1,300.34x = 1,315,429.11
  5. Step 5: Solve for x
    x = 1,315,429.11/1,300.34
  6. Step 6: Final answer
    x = 1,011.60

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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.