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Finding the Fourth Proportional to 753.08, 1,039.10 and 458.28

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Solution

The fourth proportional to 753.08, 1,039.10 and 458.28 is: 632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.08 : 1,039.10 = 458.28 : x
  2. Step 2: Convert to fraction form
    753.08/1,039.10 = 458.28/x
  3. Step 3: Cross multiply
    753.08x = 1,039.10 × 458.28
  4. Step 4: Simplify right side
    753.08x = 476,198.75
  5. Step 5: Solve for x
    x = 476,198.75/753.08
  6. Step 6: Final answer
    x = 632.33

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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.