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Finding the Fourth Proportional to 780.12, 1,169.28 and 596.16

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Solution

The fourth proportional to 780.12, 1,169.28 and 596.16 is: 893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.12 : 1,169.28 = 596.16 : x
  2. Step 2: Convert to fraction form
    780.12/1,169.28 = 596.16/x
  3. Step 3: Cross multiply
    780.12x = 1,169.28 × 596.16
  4. Step 4: Simplify right side
    780.12x = 697,077.96
  5. Step 5: Solve for x
    x = 697,077.96/780.12
  6. Step 6: Final answer
    x = 893.55

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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.