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Finding the Fourth Proportional to 1,009.19, 1,513.67 and 424.28

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Solution

The fourth proportional to 1,009.19, 1,513.67 and 424.28 is: 636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.19 : 1,513.67 = 424.28 : x
  2. Step 2: Convert to fraction form
    1,009.19/1,513.67 = 424.28/x
  3. Step 3: Cross multiply
    1,009.19x = 1,513.67 × 424.28
  4. Step 4: Simplify right side
    1,009.19x = 642,221.57
  5. Step 5: Solve for x
    x = 642,221.57/1,009.19
  6. Step 6: Final answer
    x = 636.37

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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.