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Finding the Fourth Proportional to 934.76, 1,290 and 541.76

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Solution

The fourth proportional to 934.76, 1,290 and 541.76 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.76 : 1,290 = 541.76 : x
  2. Step 2: Convert to fraction form
    934.76/1,290 = 541.76/x
  3. Step 3: Cross multiply
    934.76x = 1,290 × 541.76
  4. Step 4: Simplify right side
    934.76x = 698,870.40
  5. Step 5: Solve for x
    x = 698,870.40/934.76
  6. Step 6: Final answer
    x = 747.65

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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.