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Finding the Fourth Proportional to 841.94, 1,161.96 and 510.47

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Solution

The fourth proportional to 841.94, 1,161.96 and 510.47 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.94 : 1,161.96 = 510.47 : x
  2. Step 2: Convert to fraction form
    841.94/1,161.96 = 510.47/x
  3. Step 3: Cross multiply
    841.94x = 1,161.96 × 510.47
  4. Step 4: Simplify right side
    841.94x = 593,145.72
  5. Step 5: Solve for x
    x = 593,145.72/841.94
  6. Step 6: Final answer
    x = 704.50

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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.