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Finding the Fourth Proportional to 751.60, 1,127.36 and 319.04

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Solution

The fourth proportional to 751.60, 1,127.36 and 319.04 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.60 : 1,127.36 = 319.04 : x
  2. Step 2: Convert to fraction form
    751.60/1,127.36 = 319.04/x
  3. Step 3: Cross multiply
    751.60x = 1,127.36 × 319.04
  4. Step 4: Simplify right side
    751.60x = 359,672.93
  5. Step 5: Solve for x
    x = 359,672.93/751.60
  6. Step 6: Final answer
    x = 478.54

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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.