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Finding the Fourth Proportional to 995.65, 1,492.10 and 507.67

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Solution

The fourth proportional to 995.65, 1,492.10 and 507.67 is: 760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.65 : 1,492.10 = 507.67 : x
  2. Step 2: Convert to fraction form
    995.65/1,492.10 = 507.67/x
  3. Step 3: Cross multiply
    995.65x = 1,492.10 × 507.67
  4. Step 4: Simplify right side
    995.65x = 757,501.29
  5. Step 5: Solve for x
    x = 757,501.29/995.65
  6. Step 6: Final answer
    x = 760.81

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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.