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Finding the Fourth Proportional to 830.30, 1,245.98 and 465.33

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Solution

The fourth proportional to 830.30, 1,245.98 and 465.33 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,245.98 = 465.33 : x
  2. Step 2: Convert to fraction form
    830.30/1,245.98 = 465.33/x
  3. Step 3: Cross multiply
    830.30x = 1,245.98 × 465.33
  4. Step 4: Simplify right side
    830.30x = 579,789.55
  5. Step 5: Solve for x
    x = 579,789.55/830.30
  6. Step 6: Final answer
    x = 698.29

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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.