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Finding the Fourth Proportional to 830.32, 1,244.30 and 598.12

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Solution

The fourth proportional to 830.32, 1,244.30 and 598.12 is: 896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.32 : 1,244.30 = 598.12 : x
  2. Step 2: Convert to fraction form
    830.32/1,244.30 = 598.12/x
  3. Step 3: Cross multiply
    830.32x = 1,244.30 × 598.12
  4. Step 4: Simplify right side
    830.32x = 744,234.61
  5. Step 5: Solve for x
    x = 744,234.61/830.32
  6. Step 6: Final answer
    x = 896.33

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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.