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Finding the Fourth Proportional to 1,003.76, 1,506.24 and 456.24

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Solution

The fourth proportional to 1,003.76, 1,506.24 and 456.24 is: 684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.76 : 1,506.24 = 456.24 : x
  2. Step 2: Convert to fraction form
    1,003.76/1,506.24 = 456.24/x
  3. Step 3: Cross multiply
    1,003.76x = 1,506.24 × 456.24
  4. Step 4: Simplify right side
    1,003.76x = 687,206.94
  5. Step 5: Solve for x
    x = 687,206.94/1,003.76
  6. Step 6: Final answer
    x = 684.63

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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.