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Finding the Fourth Proportional to 1,003.01, 1,384.76 and 649.24

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Solution

The fourth proportional to 1,003.01, 1,384.76 and 649.24 is: 896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.01 : 1,384.76 = 649.24 : x
  2. Step 2: Convert to fraction form
    1,003.01/1,384.76 = 649.24/x
  3. Step 3: Cross multiply
    1,003.01x = 1,384.76 × 649.24
  4. Step 4: Simplify right side
    1,003.01x = 899,039.74
  5. Step 5: Solve for x
    x = 899,039.74/1,003.01
  6. Step 6: Final answer
    x = 896.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.