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Finding the Fourth Proportional to 756.45, 1,042.47 and 546.21

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Solution

The fourth proportional to 756.45, 1,042.47 and 546.21 is: 752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.45 : 1,042.47 = 546.21 : x
  2. Step 2: Convert to fraction form
    756.45/1,042.47 = 546.21/x
  3. Step 3: Cross multiply
    756.45x = 1,042.47 × 546.21
  4. Step 4: Simplify right side
    756.45x = 569,407.54
  5. Step 5: Solve for x
    x = 569,407.54/756.45
  6. Step 6: Final answer
    x = 752.74

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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.