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Finding the Fourth Proportional to 994.80, 1,492.32 and 417.68

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Solution

The fourth proportional to 994.80, 1,492.32 and 417.68 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.80 : 1,492.32 = 417.68 : x
  2. Step 2: Convert to fraction form
    994.80/1,492.32 = 417.68/x
  3. Step 3: Cross multiply
    994.80x = 1,492.32 × 417.68
  4. Step 4: Simplify right side
    994.80x = 623,312.22
  5. Step 5: Solve for x
    x = 623,312.22/994.80
  6. Step 6: Final answer
    x = 626.57

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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.