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Finding the Fourth Proportional to 780.80, 1,170.84 and 456.32

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Solution

The fourth proportional to 780.80, 1,170.84 and 456.32 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.80 : 1,170.84 = 456.32 : x
  2. Step 2: Convert to fraction form
    780.80/1,170.84 = 456.32/x
  3. Step 3: Cross multiply
    780.80x = 1,170.84 × 456.32
  4. Step 4: Simplify right side
    780.80x = 534,277.71
  5. Step 5: Solve for x
    x = 534,277.71/780.80
  6. Step 6: Final answer
    x = 684.27

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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.