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Finding the Fourth Proportional to 985.26, 1,477.98 and 921.24

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Solution

The fourth proportional to 985.26, 1,477.98 and 921.24 is: 1,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.26 : 1,477.98 = 921.24 : x
  2. Step 2: Convert to fraction form
    985.26/1,477.98 = 921.24/x
  3. Step 3: Cross multiply
    985.26x = 1,477.98 × 921.24
  4. Step 4: Simplify right side
    985.26x = 1,361,574.30
  5. Step 5: Solve for x
    x = 1,361,574.30/985.26
  6. Step 6: Final answer
    x = 1,381.94

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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.