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Finding the Fourth Proportional to 1,256.34, 1,733.76 and 758.82

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Solution

The fourth proportional to 1,256.34, 1,733.76 and 758.82 is: 1,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.34 : 1,733.76 = 758.82 : x
  2. Step 2: Convert to fraction form
    1,256.34/1,733.76 = 758.82/x
  3. Step 3: Cross multiply
    1,256.34x = 1,733.76 × 758.82
  4. Step 4: Simplify right side
    1,256.34x = 1,315,611.76
  5. Step 5: Solve for x
    x = 1,315,611.76/1,256.34
  6. Step 6: Final answer
    x = 1,047.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.