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Finding the Fourth Proportional to 1,005.13, 1,508.50 and 518.32

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Solution

The fourth proportional to 1,005.13, 1,508.50 and 518.32 is: 777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.13 : 1,508.50 = 518.32 : x
  2. Step 2: Convert to fraction form
    1,005.13/1,508.50 = 518.32/x
  3. Step 3: Cross multiply
    1,005.13x = 1,508.50 × 518.32
  4. Step 4: Simplify right side
    1,005.13x = 781,878.18
  5. Step 5: Solve for x
    x = 781,878.18/1,005.13
  6. Step 6: Final answer
    x = 777.89

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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.