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Finding the Fourth Proportional to 751.73, 1,127.53 and 312.78

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Solution

The fourth proportional to 751.73, 1,127.53 and 312.78 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.73 : 1,127.53 = 312.78 : x
  2. Step 2: Convert to fraction form
    751.73/1,127.53 = 312.78/x
  3. Step 3: Cross multiply
    751.73x = 1,127.53 × 312.78
  4. Step 4: Simplify right side
    751.73x = 352,668.83
  5. Step 5: Solve for x
    x = 352,668.83/751.73
  6. Step 6: Final answer
    x = 469.14

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