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Finding the Fourth Proportional to 1,230.58, 1,845.57 and 353.20

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Solution

The fourth proportional to 1,230.58, 1,845.57 and 353.20 is: 529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.58 : 1,845.57 = 353.20 : x
  2. Step 2: Convert to fraction form
    1,230.58/1,845.57 = 353.20/x
  3. Step 3: Cross multiply
    1,230.58x = 1,845.57 × 353.20
  4. Step 4: Simplify right side
    1,230.58x = 651,855.32
  5. Step 5: Solve for x
    x = 651,855.32/1,230.58
  6. Step 6: Final answer
    x = 529.71

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Double scale
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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.