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Finding the Fourth Proportional to 810.48, 1,118.45 and 496.29

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Solution

The fourth proportional to 810.48, 1,118.45 and 496.29 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.48 : 1,118.45 = 496.29 : x
  2. Step 2: Convert to fraction form
    810.48/1,118.45 = 496.29/x
  3. Step 3: Cross multiply
    810.48x = 1,118.45 × 496.29
  4. Step 4: Simplify right side
    810.48x = 555,076.79
  5. Step 5: Solve for x
    x = 555,076.79/810.48
  6. Step 6: Final answer
    x = 684.87

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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.