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Finding the Fourth Proportional to 654.66, 902.56 and 486.07

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Solution

The fourth proportional to 654.66, 902.56 and 486.07 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 902.56 = 486.07 : x
  2. Step 2: Convert to fraction form
    654.66/902.56 = 486.07/x
  3. Step 3: Cross multiply
    654.66x = 902.56 × 486.07
  4. Step 4: Simplify right side
    654.66x = 438,707.34
  5. Step 5: Solve for x
    x = 438,707.34/654.66
  6. Step 6: Final answer
    x = 670.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.