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Finding the Fourth Proportional to 1,465.48, 2,198.24 and 820.32

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Solution

The fourth proportional to 1,465.48, 2,198.24 and 820.32 is: 1,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.48 : 2,198.24 = 820.32 : x
  2. Step 2: Convert to fraction form
    1,465.48/2,198.24 = 820.32/x
  3. Step 3: Cross multiply
    1,465.48x = 2,198.24 × 820.32
  4. Step 4: Simplify right side
    1,465.48x = 1,803,260.24
  5. Step 5: Solve for x
    x = 1,803,260.24/1,465.48
  6. Step 6: Final answer
    x = 1,230.49

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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.