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Finding the Fourth Proportional to 1,256.64, 1,734.16 and 732.70

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Solution

The fourth proportional to 1,256.64, 1,734.16 and 732.70 is: 1,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.64 : 1,734.16 = 732.70 : x
  2. Step 2: Convert to fraction form
    1,256.64/1,734.16 = 732.70/x
  3. Step 3: Cross multiply
    1,256.64x = 1,734.16 × 732.70
  4. Step 4: Simplify right side
    1,256.64x = 1,270,619.03
  5. Step 5: Solve for x
    x = 1,270,619.03/1,256.64
  6. Step 6: Final answer
    x = 1,011.12

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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.