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Finding the Fourth Proportional to 1,256.33, 1,884.62 and 712.01

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Solution

The fourth proportional to 1,256.33, 1,884.62 and 712.01 is: 1,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.33 : 1,884.62 = 712.01 : x
  2. Step 2: Convert to fraction form
    1,256.33/1,884.62 = 712.01/x
  3. Step 3: Cross multiply
    1,256.33x = 1,884.62 × 712.01
  4. Step 4: Simplify right side
    1,256.33x = 1,341,868.29
  5. Step 5: Solve for x
    x = 1,341,868.29/1,256.33
  6. Step 6: Final answer
    x = 1,068.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.