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Finding the Fourth Proportional to 1,256.04, 1,733.22 and 758.70

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Solution

The fourth proportional to 1,256.04, 1,733.22 and 758.70 is: 1,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.04 : 1,733.22 = 758.70 : x
  2. Step 2: Convert to fraction form
    1,256.04/1,733.22 = 758.70/x
  3. Step 3: Cross multiply
    1,256.04x = 1,733.22 × 758.70
  4. Step 4: Simplify right side
    1,256.04x = 1,314,994.01
  5. Step 5: Solve for x
    x = 1,314,994.01/1,256.04
  6. Step 6: Final answer
    x = 1,046.94

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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.