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Finding the Fourth Proportional to 995.47, 1,492.35 and 378.82

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Solution

The fourth proportional to 995.47, 1,492.35 and 378.82 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.47 : 1,492.35 = 378.82 : x
  2. Step 2: Convert to fraction form
    995.47/1,492.35 = 378.82/x
  3. Step 3: Cross multiply
    995.47x = 1,492.35 × 378.82
  4. Step 4: Simplify right side
    995.47x = 565,332.03
  5. Step 5: Solve for x
    x = 565,332.03/995.47
  6. Step 6: Final answer
    x = 567.90

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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.