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Finding the Fourth Proportional to 810.56, 1,118.54 and 456.49

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Solution

The fourth proportional to 810.56, 1,118.54 and 456.49 is: 629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.56 : 1,118.54 = 456.49 : x
  2. Step 2: Convert to fraction form
    810.56/1,118.54 = 456.49/x
  3. Step 3: Cross multiply
    810.56x = 1,118.54 × 456.49
  4. Step 4: Simplify right side
    810.56x = 510,594.45
  5. Step 5: Solve for x
    x = 510,594.45/810.56
  6. Step 6: Final answer
    x = 629.93

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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.