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Finding the Fourth Proportional to 995.64, 1,492.65 and 686.58

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Solution

The fourth proportional to 995.64, 1,492.65 and 686.58 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.64 : 1,492.65 = 686.58 : x
  2. Step 2: Convert to fraction form
    995.64/1,492.65 = 686.58/x
  3. Step 3: Cross multiply
    995.64x = 1,492.65 × 686.58
  4. Step 4: Simplify right side
    995.64x = 1,024,823.64
  5. Step 5: Solve for x
    x = 1,024,823.64/995.64
  6. Step 6: Final answer
    x = 1,029.31

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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.