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Finding the Fourth Proportional to 753.21, 1,039.50 and 473.49

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Solution

The fourth proportional to 753.21, 1,039.50 and 473.49 is: 653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.21 : 1,039.50 = 473.49 : x
  2. Step 2: Convert to fraction form
    753.21/1,039.50 = 473.49/x
  3. Step 3: Cross multiply
    753.21x = 1,039.50 × 473.49
  4. Step 4: Simplify right side
    753.21x = 492,192.86
  5. Step 5: Solve for x
    x = 492,192.86/753.21
  6. Step 6: Final answer
    x = 653.46

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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.