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Finding the Fourth Proportional to 1,290.36, 1,780.38 and 824.34

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Solution

The fourth proportional to 1,290.36, 1,780.38 and 824.34 is: 1,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.36 : 1,780.38 = 824.34 : x
  2. Step 2: Convert to fraction form
    1,290.36/1,780.38 = 824.34/x
  3. Step 3: Cross multiply
    1,290.36x = 1,780.38 × 824.34
  4. Step 4: Simplify right side
    1,290.36x = 1,467,638.45
  5. Step 5: Solve for x
    x = 1,467,638.45/1,290.36
  6. Step 6: Final answer
    x = 1,137.39

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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.