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Finding the Fourth Proportional to 751.49, 1,037.54 and 515.84

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Solution

The fourth proportional to 751.49, 1,037.54 and 515.84 is: 712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.49 : 1,037.54 = 515.84 : x
  2. Step 2: Convert to fraction form
    751.49/1,037.54 = 515.84/x
  3. Step 3: Cross multiply
    751.49x = 1,037.54 × 515.84
  4. Step 4: Simplify right side
    751.49x = 535,196.87
  5. Step 5: Solve for x
    x = 535,196.87/751.49
  6. Step 6: Final answer
    x = 712.18

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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.