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Finding the Fourth Proportional to 754.65, 1,041.75 and 506.06

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Solution

The fourth proportional to 754.65, 1,041.75 and 506.06 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.65 : 1,041.75 = 506.06 : x
  2. Step 2: Convert to fraction form
    754.65/1,041.75 = 506.06/x
  3. Step 3: Cross multiply
    754.65x = 1,041.75 × 506.06
  4. Step 4: Simplify right side
    754.65x = 527,182.80
  5. Step 5: Solve for x
    x = 527,182.80/754.65
  6. Step 6: Final answer
    x = 698.58

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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.