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Finding the Fourth Proportional to 754, 1,041.30 and 506.32

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Solution

The fourth proportional to 754, 1,041.30 and 506.32 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754 : 1,041.30 = 506.32 : x
  2. Step 2: Convert to fraction form
    754/1,041.30 = 506.32/x
  3. Step 3: Cross multiply
    754x = 1,041.30 × 506.32
  4. Step 4: Simplify right side
    754x = 527,231.02
  5. Step 5: Solve for x
    x = 527,231.02/754
  6. Step 6: Final answer
    x = 699.25

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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.