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Finding the Fourth Proportional to 756.49, 1,041.27 and 546.34

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Solution

The fourth proportional to 756.49, 1,041.27 and 546.34 is: 752.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.49 : 1,041.27 = 546.34 : x
  2. Step 2: Convert to fraction form
    756.49/1,041.27 = 546.34/x
  3. Step 3: Cross multiply
    756.49x = 1,041.27 × 546.34
  4. Step 4: Simplify right side
    756.49x = 568,887.45
  5. Step 5: Solve for x
    x = 568,887.45/756.49
  6. Step 6: Final answer
    x = 752.01

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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.