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Finding the Fourth Proportional to 1,025.28, 1,534.72 and 736.64

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Solution

The fourth proportional to 1,025.28, 1,534.72 and 736.64 is: 1,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.28 : 1,534.72 = 736.64 : x
  2. Step 2: Convert to fraction form
    1,025.28/1,534.72 = 736.64/x
  3. Step 3: Cross multiply
    1,025.28x = 1,534.72 × 736.64
  4. Step 4: Simplify right side
    1,025.28x = 1,130,536.14
  5. Step 5: Solve for x
    x = 1,130,536.14/1,025.28
  6. Step 6: Final answer
    x = 1,102.66

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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.