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Finding the Fourth Proportional to 995.72, 1,492.98 and 584.66

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Solution

The fourth proportional to 995.72, 1,492.98 and 584.66 is: 876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.72 : 1,492.98 = 584.66 : x
  2. Step 2: Convert to fraction form
    995.72/1,492.98 = 584.66/x
  3. Step 3: Cross multiply
    995.72x = 1,492.98 × 584.66
  4. Step 4: Simplify right side
    995.72x = 872,885.69
  5. Step 5: Solve for x
    x = 872,885.69/995.72
  6. Step 6: Final answer
    x = 876.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.