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Finding the Fourth Proportional to 995.11, 1,492.67 and 410.01

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Solution

The fourth proportional to 995.11, 1,492.67 and 410.01 is: 615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.11 : 1,492.67 = 410.01 : x
  2. Step 2: Convert to fraction form
    995.11/1,492.67 = 410.01/x
  3. Step 3: Cross multiply
    995.11x = 1,492.67 × 410.01
  4. Step 4: Simplify right side
    995.11x = 612,009.63
  5. Step 5: Solve for x
    x = 612,009.63/995.11
  6. Step 6: Final answer
    x = 615.02

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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.