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Finding the Fourth Proportional to 841.89, 1,162.04 and 510.50

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Solution

The fourth proportional to 841.89, 1,162.04 and 510.50 is: 704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.89 : 1,162.04 = 510.50 : x
  2. Step 2: Convert to fraction form
    841.89/1,162.04 = 510.50/x
  3. Step 3: Cross multiply
    841.89x = 1,162.04 × 510.50
  4. Step 4: Simplify right side
    841.89x = 593,221.42
  5. Step 5: Solve for x
    x = 593,221.42/841.89
  6. Step 6: Final answer
    x = 704.63

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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.