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Finding the Fourth Proportional to 984.98, 1,477.47 and 437.24

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Solution

The fourth proportional to 984.98, 1,477.47 and 437.24 is: 655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.98 : 1,477.47 = 437.24 : x
  2. Step 2: Convert to fraction form
    984.98/1,477.47 = 437.24/x
  3. Step 3: Cross multiply
    984.98x = 1,477.47 × 437.24
  4. Step 4: Simplify right side
    984.98x = 646,008.98
  5. Step 5: Solve for x
    x = 646,008.98/984.98
  6. Step 6: Final answer
    x = 655.86

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Double scale
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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.