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Finding the Fourth Proportional to 751.46, 1,127.59 and 477.68

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Solution

The fourth proportional to 751.46, 1,127.59 and 477.68 is: 716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.46 : 1,127.59 = 477.68 : x
  2. Step 2: Convert to fraction form
    751.46/1,127.59 = 477.68/x
  3. Step 3: Cross multiply
    751.46x = 1,127.59 × 477.68
  4. Step 4: Simplify right side
    751.46x = 538,627.19
  5. Step 5: Solve for x
    x = 538,627.19/751.46
  6. Step 6: Final answer
    x = 716.77

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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.