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Finding the Fourth Proportional to 613, 919.14 and 541

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Solution

The fourth proportional to 613, 919.14 and 541 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 919.14 = 541 : x
  2. Step 2: Convert to fraction form
    613/919.14 = 541/x
  3. Step 3: Cross multiply
    613x = 919.14 × 541
  4. Step 4: Simplify right side
    613x = 497,254.74
  5. Step 5: Solve for x
    x = 497,254.74/613
  6. Step 6: Final answer
    x = 811.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.