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Finding the Fourth Proportional to 1,025.86, 1,538.89 and 478.19

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Solution

The fourth proportional to 1,025.86, 1,538.89 and 478.19 is: 717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.86 : 1,538.89 = 478.19 : x
  2. Step 2: Convert to fraction form
    1,025.86/1,538.89 = 478.19/x
  3. Step 3: Cross multiply
    1,025.86x = 1,538.89 × 478.19
  4. Step 4: Simplify right side
    1,025.86x = 735,884.46
  5. Step 5: Solve for x
    x = 735,884.46/1,025.86
  6. Step 6: Final answer
    x = 717.34

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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.