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Finding the Fourth Proportional to 954.43, 1,307.24 and 898.38

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Solution

The fourth proportional to 954.43, 1,307.24 and 898.38 is: 1,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.43 : 1,307.24 = 898.38 : x
  2. Step 2: Convert to fraction form
    954.43/1,307.24 = 898.38/x
  3. Step 3: Cross multiply
    954.43x = 1,307.24 × 898.38
  4. Step 4: Simplify right side
    954.43x = 1,174,398.27
  5. Step 5: Solve for x
    x = 1,174,398.27/954.43
  6. Step 6: Final answer
    x = 1,230.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.