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Finding the Fourth Proportional to 994.16, 1,492.76 and 945.36

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Solution

The fourth proportional to 994.16, 1,492.76 and 945.36 is: 1,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.16 : 1,492.76 = 945.36 : x
  2. Step 2: Convert to fraction form
    994.16/1,492.76 = 945.36/x
  3. Step 3: Cross multiply
    994.16x = 1,492.76 × 945.36
  4. Step 4: Simplify right side
    994.16x = 1,411,195.59
  5. Step 5: Solve for x
    x = 1,411,195.59/994.16
  6. Step 6: Final answer
    x = 1,419.49

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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.