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Finding the Fourth Proportional to 753.96, 1,039.70 and 505.24

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Solution

The fourth proportional to 753.96, 1,039.70 and 505.24 is: 696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.96 : 1,039.70 = 505.24 : x
  2. Step 2: Convert to fraction form
    753.96/1,039.70 = 505.24/x
  3. Step 3: Cross multiply
    753.96x = 1,039.70 × 505.24
  4. Step 4: Simplify right side
    753.96x = 525,298.03
  5. Step 5: Solve for x
    x = 525,298.03/753.96
  6. Step 6: Final answer
    x = 696.72

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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.