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Finding the Fourth Proportional to 751.88, 1,037.71 and 545.24

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Solution

The fourth proportional to 751.88, 1,037.71 and 545.24 is: 752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.88 : 1,037.71 = 545.24 : x
  2. Step 2: Convert to fraction form
    751.88/1,037.71 = 545.24/x
  3. Step 3: Cross multiply
    751.88x = 1,037.71 × 545.24
  4. Step 4: Simplify right side
    751.88x = 565,794.45
  5. Step 5: Solve for x
    x = 565,794.45/751.88
  6. Step 6: Final answer
    x = 752.51

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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.