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Finding the Fourth Proportional to 753.10, 1,039.74 and 596.36

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Solution

The fourth proportional to 753.10, 1,039.74 and 596.36 is: 823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.10 : 1,039.74 = 596.36 : x
  2. Step 2: Convert to fraction form
    753.10/1,039.74 = 596.36/x
  3. Step 3: Cross multiply
    753.10x = 1,039.74 × 596.36
  4. Step 4: Simplify right side
    753.10x = 620,059.71
  5. Step 5: Solve for x
    x = 620,059.71/753.10
  6. Step 6: Final answer
    x = 823.35

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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.