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Finding the Fourth Proportional to 841.49, 1,159.35 and 631.34

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Solution

The fourth proportional to 841.49, 1,159.35 and 631.34 is: 869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.49 : 1,159.35 = 631.34 : x
  2. Step 2: Convert to fraction form
    841.49/1,159.35 = 631.34/x
  3. Step 3: Cross multiply
    841.49x = 1,159.35 × 631.34
  4. Step 4: Simplify right side
    841.49x = 731,938.23
  5. Step 5: Solve for x
    x = 731,938.23/841.49
  6. Step 6: Final answer
    x = 869.82

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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.