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Finding the Fourth Proportional to 934.04, 1,288.96 and 541.10

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Solution

The fourth proportional to 934.04, 1,288.96 and 541.10 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.04 : 1,288.96 = 541.10 : x
  2. Step 2: Convert to fraction form
    934.04/1,288.96 = 541.10/x
  3. Step 3: Cross multiply
    934.04x = 1,288.96 × 541.10
  4. Step 4: Simplify right side
    934.04x = 697,448.46
  5. Step 5: Solve for x
    x = 697,448.46/934.04
  6. Step 6: Final answer
    x = 746.70

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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.