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Finding the Fourth Proportional to 841.17, 1,160.82 and 468.17

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Solution

The fourth proportional to 841.17, 1,160.82 and 468.17 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.17 : 1,160.82 = 468.17 : x
  2. Step 2: Convert to fraction form
    841.17/1,160.82 = 468.17/x
  3. Step 3: Cross multiply
    841.17x = 1,160.82 × 468.17
  4. Step 4: Simplify right side
    841.17x = 543,461.10
  5. Step 5: Solve for x
    x = 543,461.10/841.17
  6. Step 6: Final answer
    x = 646.08

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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.