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Finding the Fourth Proportional to 925.10, 1,276.65 and 505.46

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Solution

The fourth proportional to 925.10, 1,276.65 and 505.46 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.10 : 1,276.65 = 505.46 : x
  2. Step 2: Convert to fraction form
    925.10/1,276.65 = 505.46/x
  3. Step 3: Cross multiply
    925.10x = 1,276.65 × 505.46
  4. Step 4: Simplify right side
    925.10x = 645,289.13
  5. Step 5: Solve for x
    x = 645,289.13/925.10
  6. Step 6: Final answer
    x = 697.54

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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.