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Finding the Fourth Proportional to 1,176.86, 1,764.52 and 436.32

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Solution

The fourth proportional to 1,176.86, 1,764.52 and 436.32 is: 654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.86 : 1,764.52 = 436.32 : x
  2. Step 2: Convert to fraction form
    1,176.86/1,764.52 = 436.32/x
  3. Step 3: Cross multiply
    1,176.86x = 1,764.52 × 436.32
  4. Step 4: Simplify right side
    1,176.86x = 769,894.28
  5. Step 5: Solve for x
    x = 769,894.28/1,176.86
  6. Step 6: Final answer
    x = 654.19

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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.