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Finding the Fourth Proportional to 934.16, 1,289.16 and 541.22

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Solution

The fourth proportional to 934.16, 1,289.16 and 541.22 is: 746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.16 : 1,289.16 = 541.22 : x
  2. Step 2: Convert to fraction form
    934.16/1,289.16 = 541.22/x
  3. Step 3: Cross multiply
    934.16x = 1,289.16 × 541.22
  4. Step 4: Simplify right side
    934.16x = 697,719.18
  5. Step 5: Solve for x
    x = 697,719.18/934.16
  6. Step 6: Final answer
    x = 746.89

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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.