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Finding the Fourth Proportional to 501.60, 756.77 and 500.25

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Solution

The fourth proportional to 501.60, 756.77 and 500.25 is: 754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 756.77 = 500.25 : x
  2. Step 2: Convert to fraction form
    501.60/756.77 = 500.25/x
  3. Step 3: Cross multiply
    501.60x = 756.77 × 500.25
  4. Step 4: Simplify right side
    501.60x = 378,574.19
  5. Step 5: Solve for x
    x = 378,574.19/501.60
  6. Step 6: Final answer
    x = 754.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.