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Finding the Fourth Proportional to 748.04, 1,032.45 and 499.77

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Solution

The fourth proportional to 748.04, 1,032.45 and 499.77 is: 689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.04 : 1,032.45 = 499.77 : x
  2. Step 2: Convert to fraction form
    748.04/1,032.45 = 499.77/x
  3. Step 3: Cross multiply
    748.04x = 1,032.45 × 499.77
  4. Step 4: Simplify right side
    748.04x = 515,985.66
  5. Step 5: Solve for x
    x = 515,985.66/748.04
  6. Step 6: Final answer
    x = 689.79

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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.