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Finding the Fourth Proportional to 995.22, 1,492.23 and 584.16

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Solution

The fourth proportional to 995.22, 1,492.23 and 584.16 is: 875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.22 : 1,492.23 = 584.16 : x
  2. Step 2: Convert to fraction form
    995.22/1,492.23 = 584.16/x
  3. Step 3: Cross multiply
    995.22x = 1,492.23 × 584.16
  4. Step 4: Simplify right side
    995.22x = 871,701.08
  5. Step 5: Solve for x
    x = 871,701.08/995.22
  6. Step 6: Final answer
    x = 875.89

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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.