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Finding the Fourth Proportional to 995.93, 1,492.53 and 507.95

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Solution

The fourth proportional to 995.93, 1,492.53 and 507.95 is: 761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.93 : 1,492.53 = 507.95 : x
  2. Step 2: Convert to fraction form
    995.93/1,492.53 = 507.95/x
  3. Step 3: Cross multiply
    995.93x = 1,492.53 × 507.95
  4. Step 4: Simplify right side
    995.93x = 758,135.24
  5. Step 5: Solve for x
    x = 758,135.24/995.93
  6. Step 6: Final answer
    x = 761.23

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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.