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Finding the Fourth Proportional to 954.11, 1,429.94 and 824.11

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Solution

The fourth proportional to 954.11, 1,429.94 and 824.11 is: 1,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.11 : 1,429.94 = 824.11 : x
  2. Step 2: Convert to fraction form
    954.11/1,429.94 = 824.11/x
  3. Step 3: Cross multiply
    954.11x = 1,429.94 × 824.11
  4. Step 4: Simplify right side
    954.11x = 1,178,426.34
  5. Step 5: Solve for x
    x = 1,178,426.34/954.11
  6. Step 6: Final answer
    x = 1,235.10

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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.