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Finding the Fourth Proportional to 1,025.42, 1,538.37 and 376.16

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Solution

The fourth proportional to 1,025.42, 1,538.37 and 376.16 is: 564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.42 : 1,538.37 = 376.16 : x
  2. Step 2: Convert to fraction form
    1,025.42/1,538.37 = 376.16/x
  3. Step 3: Cross multiply
    1,025.42x = 1,538.37 × 376.16
  4. Step 4: Simplify right side
    1,025.42x = 578,673.26
  5. Step 5: Solve for x
    x = 578,673.26/1,025.42
  6. Step 6: Final answer
    x = 564.33

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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.