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Finding the Fourth Proportional to 751.20, 1,125.36 and 442.52

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Solution

The fourth proportional to 751.20, 1,125.36 and 442.52 is: 662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.20 : 1,125.36 = 442.52 : x
  2. Step 2: Convert to fraction form
    751.20/1,125.36 = 442.52/x
  3. Step 3: Cross multiply
    751.20x = 1,125.36 × 442.52
  4. Step 4: Simplify right side
    751.20x = 497,994.31
  5. Step 5: Solve for x
    x = 497,994.31/751.20
  6. Step 6: Final answer
    x = 662.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.