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Finding the Fourth Proportional to 840.14, 1,260.26 and 429.00

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Solution

The fourth proportional to 840.14, 1,260.26 and 429.00 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.14 : 1,260.26 = 429.00 : x
  2. Step 2: Convert to fraction form
    840.14/1,260.26 = 429.00/x
  3. Step 3: Cross multiply
    840.14x = 1,260.26 × 429.00
  4. Step 4: Simplify right side
    840.14x = 540,646.28
  5. Step 5: Solve for x
    x = 540,646.28/840.14
  6. Step 6: Final answer
    x = 643.52

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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.