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Finding the Fourth Proportional to 925.46, 1,277.11 and 505.81

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Solution

The fourth proportional to 925.46, 1,277.11 and 505.81 is: 698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.46 : 1,277.11 = 505.81 : x
  2. Step 2: Convert to fraction form
    925.46/1,277.11 = 505.81/x
  3. Step 3: Cross multiply
    925.46x = 1,277.11 × 505.81
  4. Step 4: Simplify right side
    925.46x = 645,970.55
  5. Step 5: Solve for x
    x = 645,970.55/925.46
  6. Step 6: Final answer
    x = 698.00

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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.