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Finding the Fourth Proportional to 996.34, 1,492.68 and 502.18

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Solution

The fourth proportional to 996.34, 1,492.68 and 502.18 is: 752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.34 : 1,492.68 = 502.18 : x
  2. Step 2: Convert to fraction form
    996.34/1,492.68 = 502.18/x
  3. Step 3: Cross multiply
    996.34x = 1,492.68 × 502.18
  4. Step 4: Simplify right side
    996.34x = 749,594.04
  5. Step 5: Solve for x
    x = 749,594.04/996.34
  6. Step 6: Final answer
    x = 752.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.