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Finding the Fourth Proportional to 985.57, 1,477.04 and 498.96

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Solution

The fourth proportional to 985.57, 1,477.04 and 498.96 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.57 : 1,477.04 = 498.96 : x
  2. Step 2: Convert to fraction form
    985.57/1,477.04 = 498.96/x
  3. Step 3: Cross multiply
    985.57x = 1,477.04 × 498.96
  4. Step 4: Simplify right side
    985.57x = 736,981.38
  5. Step 5: Solve for x
    x = 736,981.38/985.57
  6. Step 6: Final answer
    x = 747.77

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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.