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Finding the Fourth Proportional to 751.70, 1,037.83 and 472.32

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Solution

The fourth proportional to 751.70, 1,037.83 and 472.32 is: 652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.70 : 1,037.83 = 472.32 : x
  2. Step 2: Convert to fraction form
    751.70/1,037.83 = 472.32/x
  3. Step 3: Cross multiply
    751.70x = 1,037.83 × 472.32
  4. Step 4: Simplify right side
    751.70x = 490,187.87
  5. Step 5: Solve for x
    x = 490,187.87/751.70
  6. Step 6: Final answer
    x = 652.11

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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.