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Finding the Fourth Proportional to 1,074.90, 1,482.66 and 853.50

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Solution

The fourth proportional to 1,074.90, 1,482.66 and 853.50 is: 1,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.90 : 1,482.66 = 853.50 : x
  2. Step 2: Convert to fraction form
    1,074.90/1,482.66 = 853.50/x
  3. Step 3: Cross multiply
    1,074.90x = 1,482.66 × 853.50
  4. Step 4: Simplify right side
    1,074.90x = 1,265,450.31
  5. Step 5: Solve for x
    x = 1,265,450.31/1,074.90
  6. Step 6: Final answer
    x = 1,177.27

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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.