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Finding the Fourth Proportional to 985.57, 1,477.64 and 437.70

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Solution

The fourth proportional to 985.57, 1,477.64 and 437.70 is: 656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.57 : 1,477.64 = 437.70 : x
  2. Step 2: Convert to fraction form
    985.57/1,477.64 = 437.70/x
  3. Step 3: Cross multiply
    985.57x = 1,477.64 × 437.70
  4. Step 4: Simplify right side
    985.57x = 646,769.66
  5. Step 5: Solve for x
    x = 646,769.66/985.57
  6. Step 6: Final answer
    x = 656.24

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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.