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Finding the Fourth Proportional to 751.50, 1,037.07 and 419.90

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Solution

The fourth proportional to 751.50, 1,037.07 and 419.90 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.50 : 1,037.07 = 419.90 : x
  2. Step 2: Convert to fraction form
    751.50/1,037.07 = 419.90/x
  3. Step 3: Cross multiply
    751.50x = 1,037.07 × 419.90
  4. Step 4: Simplify right side
    751.50x = 435,460.51
  5. Step 5: Solve for x
    x = 435,460.51/751.50
  6. Step 6: Final answer
    x = 579.46

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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.