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Finding the Fourth Proportional to 995.58, 1,492.74 and 562.14

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Solution

The fourth proportional to 995.58, 1,492.74 and 562.14 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.58 : 1,492.74 = 562.14 : x
  2. Step 2: Convert to fraction form
    995.58/1,492.74 = 562.14/x
  3. Step 3: Cross multiply
    995.58x = 1,492.74 × 562.14
  4. Step 4: Simplify right side
    995.58x = 839,128.86
  5. Step 5: Solve for x
    x = 839,128.86/995.58
  6. Step 6: Final answer
    x = 842.85

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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.