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Finding the Fourth Proportional to 751.69, 1,037.10 and 420.07

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Solution

The fourth proportional to 751.69, 1,037.10 and 420.07 is: 579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.69 : 1,037.10 = 420.07 : x
  2. Step 2: Convert to fraction form
    751.69/1,037.10 = 420.07/x
  3. Step 3: Cross multiply
    751.69x = 1,037.10 × 420.07
  4. Step 4: Simplify right side
    751.69x = 435,654.60
  5. Step 5: Solve for x
    x = 435,654.60/751.69
  6. Step 6: Final answer
    x = 579.57

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