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Finding the Fourth Proportional to 841.23, 1,160.77 and 468.21

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Solution

The fourth proportional to 841.23, 1,160.77 and 468.21 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.23 : 1,160.77 = 468.21 : x
  2. Step 2: Convert to fraction form
    841.23/1,160.77 = 468.21/x
  3. Step 3: Cross multiply
    841.23x = 1,160.77 × 468.21
  4. Step 4: Simplify right side
    841.23x = 543,484.12
  5. Step 5: Solve for x
    x = 543,484.12/841.23
  6. Step 6: Final answer
    x = 646.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.