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Finding the Fourth Proportional to 1,005.63, 1,508.43 and 275.21

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Solution

The fourth proportional to 1,005.63, 1,508.43 and 275.21 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.63 : 1,508.43 = 275.21 : x
  2. Step 2: Convert to fraction form
    1,005.63/1,508.43 = 275.21/x
  3. Step 3: Cross multiply
    1,005.63x = 1,508.43 × 275.21
  4. Step 4: Simplify right side
    1,005.63x = 415,126.10
  5. Step 5: Solve for x
    x = 415,126.10/1,005.63
  6. Step 6: Final answer
    x = 412.80

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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.