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Finding the Fourth Proportional to 1,253.85, 1,730.46 and 756.41

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Solution

The fourth proportional to 1,253.85, 1,730.46 and 756.41 is: 1,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.85 : 1,730.46 = 756.41 : x
  2. Step 2: Convert to fraction form
    1,253.85/1,730.46 = 756.41/x
  3. Step 3: Cross multiply
    1,253.85x = 1,730.46 × 756.41
  4. Step 4: Simplify right side
    1,253.85x = 1,308,931.43
  5. Step 5: Solve for x
    x = 1,308,931.43/1,253.85
  6. Step 6: Final answer
    x = 1,043.93

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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.