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Finding the Fourth Proportional to 751.42, 1,124.39 and 457.86

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Solution

The fourth proportional to 751.42, 1,124.39 and 457.86 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.42 : 1,124.39 = 457.86 : x
  2. Step 2: Convert to fraction form
    751.42/1,124.39 = 457.86/x
  3. Step 3: Cross multiply
    751.42x = 1,124.39 × 457.86
  4. Step 4: Simplify right side
    751.42x = 514,813.21
  5. Step 5: Solve for x
    x = 514,813.21/751.42
  6. Step 6: Final answer
    x = 685.12

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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.