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Finding the Fourth Proportional to 1,005.97, 1,509.50 and 421.37

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Solution

The fourth proportional to 1,005.97, 1,509.50 and 421.37 is: 632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.97 : 1,509.50 = 421.37 : x
  2. Step 2: Convert to fraction form
    1,005.97/1,509.50 = 421.37/x
  3. Step 3: Cross multiply
    1,005.97x = 1,509.50 × 421.37
  4. Step 4: Simplify right side
    1,005.97x = 636,062.84
  5. Step 5: Solve for x
    x = 636,062.84/1,005.97
  6. Step 6: Final answer
    x = 632.29

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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.