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Finding the Fourth Proportional to 1,203.64, 1,805.52 and 434.14

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Solution

The fourth proportional to 1,203.64, 1,805.52 and 434.14 is: 651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.64 : 1,805.52 = 434.14 : x
  2. Step 2: Convert to fraction form
    1,203.64/1,805.52 = 434.14/x
  3. Step 3: Cross multiply
    1,203.64x = 1,805.52 × 434.14
  4. Step 4: Simplify right side
    1,203.64x = 783,848.45
  5. Step 5: Solve for x
    x = 783,848.45/1,203.64
  6. Step 6: Final answer
    x = 651.23

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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.