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Finding the Fourth Proportional to 756.68, 1,043.82 and 446

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Solution

The fourth proportional to 756.68, 1,043.82 and 446 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.68 : 1,043.82 = 446 : x
  2. Step 2: Convert to fraction form
    756.68/1,043.82 = 446/x
  3. Step 3: Cross multiply
    756.68x = 1,043.82 × 446
  4. Step 4: Simplify right side
    756.68x = 465,543.72
  5. Step 5: Solve for x
    x = 465,543.72/756.68
  6. Step 6: Final answer
    x = 615.25

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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.