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Finding the Fourth Proportional to 810.23, 1,118.01 and 478.60

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Solution

The fourth proportional to 810.23, 1,118.01 and 478.60 is: 660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.23 : 1,118.01 = 478.60 : x
  2. Step 2: Convert to fraction form
    810.23/1,118.01 = 478.60/x
  3. Step 3: Cross multiply
    810.23x = 1,118.01 × 478.60
  4. Step 4: Simplify right side
    810.23x = 535,077.19
  5. Step 5: Solve for x
    x = 535,077.19/810.23
  6. Step 6: Final answer
    x = 660.41

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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.