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Finding the Fourth Proportional to 654.03, 985.84 and 616.39

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Solution

The fourth proportional to 654.03, 985.84 and 616.39 is: 929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 985.84 = 616.39 : x
  2. Step 2: Convert to fraction form
    654.03/985.84 = 616.39/x
  3. Step 3: Cross multiply
    654.03x = 985.84 × 616.39
  4. Step 4: Simplify right side
    654.03x = 607,661.92
  5. Step 5: Solve for x
    x = 607,661.92/654.03
  6. Step 6: Final answer
    x = 929.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.