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Finding the Fourth Proportional to 840.33, 1,260.42 and 429.15

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Solution

The fourth proportional to 840.33, 1,260.42 and 429.15 is: 643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.33 : 1,260.42 = 429.15 : x
  2. Step 2: Convert to fraction form
    840.33/1,260.42 = 429.15/x
  3. Step 3: Cross multiply
    840.33x = 1,260.42 × 429.15
  4. Step 4: Simplify right side
    840.33x = 540,909.24
  5. Step 5: Solve for x
    x = 540,909.24/840.33
  6. Step 6: Final answer
    x = 643.69

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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.