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Finding the Fourth Proportional to 751.25, 1,127.13 and 312.74

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Solution

The fourth proportional to 751.25, 1,127.13 and 312.74 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.25 : 1,127.13 = 312.74 : x
  2. Step 2: Convert to fraction form
    751.25/1,127.13 = 312.74/x
  3. Step 3: Cross multiply
    751.25x = 1,127.13 × 312.74
  4. Step 4: Simplify right side
    751.25x = 352,493.00
  5. Step 5: Solve for x
    x = 352,493.00/751.25
  6. Step 6: Final answer
    x = 469.21

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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.