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Finding the Fourth Proportional to 1,025.60, 1,538.32 and 477.64

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Solution

The fourth proportional to 1,025.60, 1,538.32 and 477.64 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.60 : 1,538.32 = 477.64 : x
  2. Step 2: Convert to fraction form
    1,025.60/1,538.32 = 477.64/x
  3. Step 3: Cross multiply
    1,025.60x = 1,538.32 × 477.64
  4. Step 4: Simplify right side
    1,025.60x = 734,763.16
  5. Step 5: Solve for x
    x = 734,763.16/1,025.60
  6. Step 6: Final answer
    x = 716.42

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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.