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Finding the Fourth Proportional to 1,318.34, 1,819.61 and 821.36

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Solution

The fourth proportional to 1,318.34, 1,819.61 and 821.36 is: 1,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.34 : 1,819.61 = 821.36 : x
  2. Step 2: Convert to fraction form
    1,318.34/1,819.61 = 821.36/x
  3. Step 3: Cross multiply
    1,318.34x = 1,819.61 × 821.36
  4. Step 4: Simplify right side
    1,318.34x = 1,494,554.87
  5. Step 5: Solve for x
    x = 1,494,554.87/1,318.34
  6. Step 6: Final answer
    x = 1,133.66

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1.5x scale

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.