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Finding the Fourth Proportional to 973.20, 1,468.46 and 935.23

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Solution

The fourth proportional to 973.20, 1,468.46 and 935.23 is: 1,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,468.46 = 935.23 : x
  2. Step 2: Convert to fraction form
    973.20/1,468.46 = 935.23/x
  3. Step 3: Cross multiply
    973.20x = 1,468.46 × 935.23
  4. Step 4: Simplify right side
    973.20x = 1,373,347.85
  5. Step 5: Solve for x
    x = 1,373,347.85/973.20
  6. Step 6: Final answer
    x = 1,411.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.