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Finding the Fourth Proportional to 751.02, 1,037.07 and 471.74

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Solution

The fourth proportional to 751.02, 1,037.07 and 471.74 is: 651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.02 : 1,037.07 = 471.74 : x
  2. Step 2: Convert to fraction form
    751.02/1,037.07 = 471.74/x
  3. Step 3: Cross multiply
    751.02x = 1,037.07 × 471.74
  4. Step 4: Simplify right side
    751.02x = 489,228.05
  5. Step 5: Solve for x
    x = 489,228.05/751.02
  6. Step 6: Final answer
    x = 651.42

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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.