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Finding the Fourth Proportional to 985.41, 1,478.59 and 660.13

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Solution

The fourth proportional to 985.41, 1,478.59 and 660.13 is: 990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.41 : 1,478.59 = 660.13 : x
  2. Step 2: Convert to fraction form
    985.41/1,478.59 = 660.13/x
  3. Step 3: Cross multiply
    985.41x = 1,478.59 × 660.13
  4. Step 4: Simplify right side
    985.41x = 976,056.27
  5. Step 5: Solve for x
    x = 976,056.27/985.41
  6. Step 6: Final answer
    x = 990.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.