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Finding the Fourth Proportional to 1,025.07, 1,412.28 and 762.63

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Solution

The fourth proportional to 1,025.07, 1,412.28 and 762.63 is: 1,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.07 : 1,412.28 = 762.63 : x
  2. Step 2: Convert to fraction form
    1,025.07/1,412.28 = 762.63/x
  3. Step 3: Cross multiply
    1,025.07x = 1,412.28 × 762.63
  4. Step 4: Simplify right side
    1,025.07x = 1,077,047.10
  5. Step 5: Solve for x
    x = 1,077,047.10/1,025.07
  6. Step 6: Final answer
    x = 1,050.71

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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.