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Finding the Fourth Proportional to 934.17, 1,289.16 and 541.42

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Solution

The fourth proportional to 934.17, 1,289.16 and 541.42 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.17 : 1,289.16 = 541.42 : x
  2. Step 2: Convert to fraction form
    934.17/1,289.16 = 541.42/x
  3. Step 3: Cross multiply
    934.17x = 1,289.16 × 541.42
  4. Step 4: Simplify right side
    934.17x = 697,979.51
  5. Step 5: Solve for x
    x = 697,979.51/934.17
  6. Step 6: Final answer
    x = 747.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.