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Finding the Fourth Proportional to 1,001.48, 1,501.29 and 445.90

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Solution

The fourth proportional to 1,001.48, 1,501.29 and 445.90 is: 668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,501.29 = 445.90 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,501.29 = 445.90/x
  3. Step 3: Cross multiply
    1,001.48x = 1,501.29 × 445.90
  4. Step 4: Simplify right side
    1,001.48x = 669,425.21
  5. Step 5: Solve for x
    x = 669,425.21/1,001.48
  6. Step 6: Final answer
    x = 668.44

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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.