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Finding the Fourth Proportional to 751.43, 1,037.34 and 472.06

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Solution

The fourth proportional to 751.43, 1,037.34 and 472.06 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.43 : 1,037.34 = 472.06 : x
  2. Step 2: Convert to fraction form
    751.43/1,037.34 = 472.06/x
  3. Step 3: Cross multiply
    751.43x = 1,037.34 × 472.06
  4. Step 4: Simplify right side
    751.43x = 489,688.02
  5. Step 5: Solve for x
    x = 489,688.02/751.43
  6. Step 6: Final answer
    x = 651.68

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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.