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Finding the Fourth Proportional to 751.40, 1,037.11 and 456.86

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Solution

The fourth proportional to 751.40, 1,037.11 and 456.86 is: 630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.40 : 1,037.11 = 456.86 : x
  2. Step 2: Convert to fraction form
    751.40/1,037.11 = 456.86/x
  3. Step 3: Cross multiply
    751.40x = 1,037.11 × 456.86
  4. Step 4: Simplify right side
    751.40x = 473,815.53
  5. Step 5: Solve for x
    x = 473,815.53/751.40
  6. Step 6: Final answer
    x = 630.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.