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Finding the Fourth Proportional to 1,009, 1,511.88 and 521.44

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Solution

The fourth proportional to 1,009, 1,511.88 and 521.44 is: 781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,511.88 = 521.44 : x
  2. Step 2: Convert to fraction form
    1,009/1,511.88 = 521.44/x
  3. Step 3: Cross multiply
    1,009x = 1,511.88 × 521.44
  4. Step 4: Simplify right side
    1,009x = 788,354.71
  5. Step 5: Solve for x
    x = 788,354.71/1,009
  6. Step 6: Final answer
    x = 781.32

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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.