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Finding the Fourth Proportional to 656.15, 983.77 and 436.84

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Solution

The fourth proportional to 656.15, 983.77 and 436.84 is: 654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.15 : 983.77 = 436.84 : x
  2. Step 2: Convert to fraction form
    656.15/983.77 = 436.84/x
  3. Step 3: Cross multiply
    656.15x = 983.77 × 436.84
  4. Step 4: Simplify right side
    656.15x = 429,746.54
  5. Step 5: Solve for x
    x = 429,746.54/656.15
  6. Step 6: Final answer
    x = 654.96

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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.