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Finding the Fourth Proportional to 1,000.63, 1,501.31 and 351.46

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Solution

The fourth proportional to 1,000.63, 1,501.31 and 351.46 is: 527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.63 : 1,501.31 = 351.46 : x
  2. Step 2: Convert to fraction form
    1,000.63/1,501.31 = 351.46/x
  3. Step 3: Cross multiply
    1,000.63x = 1,501.31 × 351.46
  4. Step 4: Simplify right side
    1,000.63x = 527,650.41
  5. Step 5: Solve for x
    x = 527,650.41/1,000.63
  6. Step 6: Final answer
    x = 527.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.