Home / 1,466.55-2,198.76-735.58

Finding the Fourth Proportional to 1,466.55, 2,198.76 and 735.58

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Solution

The fourth proportional to 1,466.55, 2,198.76 and 735.58 is: 1,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.55 : 2,198.76 = 735.58 : x
  2. Step 2: Convert to fraction form
    1,466.55/2,198.76 = 735.58/x
  3. Step 3: Cross multiply
    1,466.55x = 2,198.76 × 735.58
  4. Step 4: Simplify right side
    1,466.55x = 1,617,363.88
  5. Step 5: Solve for x
    x = 1,617,363.88/1,466.55
  6. Step 6: Final answer
    x = 1,102.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.