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Finding the Fourth Proportional to 841.37, 1,161.06 and 509.77

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Solution

The fourth proportional to 841.37, 1,161.06 and 509.77 is: 703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.37 : 1,161.06 = 509.77 : x
  2. Step 2: Convert to fraction form
    841.37/1,161.06 = 509.77/x
  3. Step 3: Cross multiply
    841.37x = 1,161.06 × 509.77
  4. Step 4: Simplify right side
    841.37x = 591,873.56
  5. Step 5: Solve for x
    x = 591,873.56/841.37
  6. Step 6: Final answer
    x = 703.46

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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.