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Finding the Fourth Proportional to 849.58, 1,275.24 and 411.14

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Solution

The fourth proportional to 849.58, 1,275.24 and 411.14 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.58 : 1,275.24 = 411.14 : x
  2. Step 2: Convert to fraction form
    849.58/1,275.24 = 411.14/x
  3. Step 3: Cross multiply
    849.58x = 1,275.24 × 411.14
  4. Step 4: Simplify right side
    849.58x = 524,302.17
  5. Step 5: Solve for x
    x = 524,302.17/849.58
  6. Step 6: Final answer
    x = 617.13

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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.