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Finding the Fourth Proportional to 846.50, 1,167.90 and 551.66

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Solution

The fourth proportional to 846.50, 1,167.90 and 551.66 is: 761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.50 : 1,167.90 = 551.66 : x
  2. Step 2: Convert to fraction form
    846.50/1,167.90 = 551.66/x
  3. Step 3: Cross multiply
    846.50x = 1,167.90 × 551.66
  4. Step 4: Simplify right side
    846.50x = 644,283.71
  5. Step 5: Solve for x
    x = 644,283.71/846.50
  6. Step 6: Final answer
    x = 761.11

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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.