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Finding the Fourth Proportional to 841.78, 1,260.96 and 429.70

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Solution

The fourth proportional to 841.78, 1,260.96 and 429.70 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,260.96 = 429.70 : x
  2. Step 2: Convert to fraction form
    841.78/1,260.96 = 429.70/x
  3. Step 3: Cross multiply
    841.78x = 1,260.96 × 429.70
  4. Step 4: Simplify right side
    841.78x = 541,834.51
  5. Step 5: Solve for x
    x = 541,834.51/841.78
  6. Step 6: Final answer
    x = 643.68

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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.