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Finding the Fourth Proportional to 841.42, 1,160.84 and 509.73

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Solution

The fourth proportional to 841.42, 1,160.84 and 509.73 is: 703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.42 : 1,160.84 = 509.73 : x
  2. Step 2: Convert to fraction form
    841.42/1,160.84 = 509.73/x
  3. Step 3: Cross multiply
    841.42x = 1,160.84 × 509.73
  4. Step 4: Simplify right side
    841.42x = 591,711.89
  5. Step 5: Solve for x
    x = 591,711.89/841.42
  6. Step 6: Final answer
    x = 703.23

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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.