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Finding the Fourth Proportional to 841.29, 1,262.59 and 430.68

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Solution

The fourth proportional to 841.29, 1,262.59 and 430.68 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.29 : 1,262.59 = 430.68 : x
  2. Step 2: Convert to fraction form
    841.29/1,262.59 = 430.68/x
  3. Step 3: Cross multiply
    841.29x = 1,262.59 × 430.68
  4. Step 4: Simplify right side
    841.29x = 543,775.92
  5. Step 5: Solve for x
    x = 543,775.92/841.29
  6. Step 6: Final answer
    x = 646.36

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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.