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Finding the Fourth Proportional to 841.59, 1,161.31 and 468.53

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Solution

The fourth proportional to 841.59, 1,161.31 and 468.53 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.59 : 1,161.31 = 468.53 : x
  2. Step 2: Convert to fraction form
    841.59/1,161.31 = 468.53/x
  3. Step 3: Cross multiply
    841.59x = 1,161.31 × 468.53
  4. Step 4: Simplify right side
    841.59x = 544,106.68
  5. Step 5: Solve for x
    x = 544,106.68/841.59
  6. Step 6: Final answer
    x = 646.52

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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.