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Finding the Fourth Proportional to 1,256.24, 1,884.42 and 562.16

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Solution

The fourth proportional to 1,256.24, 1,884.42 and 562.16 is: 843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.24 : 1,884.42 = 562.16 : x
  2. Step 2: Convert to fraction form
    1,256.24/1,884.42 = 562.16/x
  3. Step 3: Cross multiply
    1,256.24x = 1,884.42 × 562.16
  4. Step 4: Simplify right side
    1,256.24x = 1,059,345.55
  5. Step 5: Solve for x
    x = 1,059,345.55/1,256.24
  6. Step 6: Final answer
    x = 843.27

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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.