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Finding the Fourth Proportional to 1,146.34, 1,581.96 and 622.38

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Solution

The fourth proportional to 1,146.34, 1,581.96 and 622.38 is: 858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.34 : 1,581.96 = 622.38 : x
  2. Step 2: Convert to fraction form
    1,146.34/1,581.96 = 622.38/x
  3. Step 3: Cross multiply
    1,146.34x = 1,581.96 × 622.38
  4. Step 4: Simplify right side
    1,146.34x = 984,580.26
  5. Step 5: Solve for x
    x = 984,580.26/1,146.34
  6. Step 6: Final answer
    x = 858.89

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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.