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Finding the Fourth Proportional to 1,025.98, 1,538.70 and 477.88

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Solution

The fourth proportional to 1,025.98, 1,538.70 and 477.88 is: 716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.98 : 1,538.70 = 477.88 : x
  2. Step 2: Convert to fraction form
    1,025.98/1,538.70 = 477.88/x
  3. Step 3: Cross multiply
    1,025.98x = 1,538.70 × 477.88
  4. Step 4: Simplify right side
    1,025.98x = 735,313.96
  5. Step 5: Solve for x
    x = 735,313.96/1,025.98
  6. Step 6: Final answer
    x = 716.69

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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.