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Finding the Fourth Proportional to 1,202.17, 1,802.17 and 432.49

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Solution

The fourth proportional to 1,202.17, 1,802.17 and 432.49 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.17 : 1,802.17 = 432.49 : x
  2. Step 2: Convert to fraction form
    1,202.17/1,802.17 = 432.49/x
  3. Step 3: Cross multiply
    1,202.17x = 1,802.17 × 432.49
  4. Step 4: Simplify right side
    1,202.17x = 779,409.33
  5. Step 5: Solve for x
    x = 779,409.33/1,202.17
  6. Step 6: Final answer
    x = 648.34

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1.5x scale

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.