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Finding the Fourth Proportional to 656.11, 983.40 and 460.09

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Solution

The fourth proportional to 656.11, 983.40 and 460.09 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.11 : 983.40 = 460.09 : x
  2. Step 2: Convert to fraction form
    656.11/983.40 = 460.09/x
  3. Step 3: Cross multiply
    656.11x = 983.40 × 460.09
  4. Step 4: Simplify right side
    656.11x = 452,452.51
  5. Step 5: Solve for x
    x = 452,452.51/656.11
  6. Step 6: Final answer
    x = 689.60

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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.