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Finding the Fourth Proportional to 1,025.74, 1,539.29 and 376.48

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Solution

The fourth proportional to 1,025.74, 1,539.29 and 376.48 is: 564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.74 : 1,539.29 = 376.48 : x
  2. Step 2: Convert to fraction form
    1,025.74/1,539.29 = 376.48/x
  3. Step 3: Cross multiply
    1,025.74x = 1,539.29 × 376.48
  4. Step 4: Simplify right side
    1,025.74x = 579,510.02
  5. Step 5: Solve for x
    x = 579,510.02/1,025.74
  6. Step 6: Final answer
    x = 564.97

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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.