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Finding the Fourth Proportional to 1,074.90, 1,482.92 and 701.75

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Solution

The fourth proportional to 1,074.90, 1,482.92 and 701.75 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.90 : 1,482.92 = 701.75 : x
  2. Step 2: Convert to fraction form
    1,074.90/1,482.92 = 701.75/x
  3. Step 3: Cross multiply
    1,074.90x = 1,482.92 × 701.75
  4. Step 4: Simplify right side
    1,074.90x = 1,040,639.11
  5. Step 5: Solve for x
    x = 1,040,639.11/1,074.90
  6. Step 6: Final answer
    x = 968.13

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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.