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Finding the Fourth Proportional to 761.02, 1,141.54 and 502.68

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Solution

The fourth proportional to 761.02, 1,141.54 and 502.68 is: 754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.02 : 1,141.54 = 502.68 : x
  2. Step 2: Convert to fraction form
    761.02/1,141.54 = 502.68/x
  3. Step 3: Cross multiply
    761.02x = 1,141.54 × 502.68
  4. Step 4: Simplify right side
    761.02x = 573,829.33
  5. Step 5: Solve for x
    x = 573,829.33/761.02
  6. Step 6: Final answer
    x = 754.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.