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Finding the Fourth Proportional to 841.47, 1,262.61 and 564

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Solution

The fourth proportional to 841.47, 1,262.61 and 564 is: 846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.47 : 1,262.61 = 564 : x
  2. Step 2: Convert to fraction form
    841.47/1,262.61 = 564/x
  3. Step 3: Cross multiply
    841.47x = 1,262.61 × 564
  4. Step 4: Simplify right side
    841.47x = 712,112.04
  5. Step 5: Solve for x
    x = 712,112.04/841.47
  6. Step 6: Final answer
    x = 846.27

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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.