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Finding the Fourth Proportional to 840.36, 1,260.59 and 429.41

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Solution

The fourth proportional to 840.36, 1,260.59 and 429.41 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,260.59 = 429.41 : x
  2. Step 2: Convert to fraction form
    840.36/1,260.59 = 429.41/x
  3. Step 3: Cross multiply
    840.36x = 1,260.59 × 429.41
  4. Step 4: Simplify right side
    840.36x = 541,301.50
  5. Step 5: Solve for x
    x = 541,301.50/840.36
  6. Step 6: Final answer
    x = 644.13

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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.