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Finding the Fourth Proportional to 985.28, 1,477.16 and 498.08

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Solution

The fourth proportional to 985.28, 1,477.16 and 498.08 is: 746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.28 : 1,477.16 = 498.08 : x
  2. Step 2: Convert to fraction form
    985.28/1,477.16 = 498.08/x
  3. Step 3: Cross multiply
    985.28x = 1,477.16 × 498.08
  4. Step 4: Simplify right side
    985.28x = 735,743.85
  5. Step 5: Solve for x
    x = 735,743.85/985.28
  6. Step 6: Final answer
    x = 746.74

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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.