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Finding the Fourth Proportional to 754.71, 1,041.11 and 506.04

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Solution

The fourth proportional to 754.71, 1,041.11 and 506.04 is: 698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.71 : 1,041.11 = 506.04 : x
  2. Step 2: Convert to fraction form
    754.71/1,041.11 = 506.04/x
  3. Step 3: Cross multiply
    754.71x = 1,041.11 × 506.04
  4. Step 4: Simplify right side
    754.71x = 526,840.77
  5. Step 5: Solve for x
    x = 526,840.77/754.71
  6. Step 6: Final answer
    x = 698.07

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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.