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Finding the Fourth Proportional to 780.75, 1,077.57 and 470.25

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Solution

The fourth proportional to 780.75, 1,077.57 and 470.25 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,077.57 = 470.25 : x
  2. Step 2: Convert to fraction form
    780.75/1,077.57 = 470.25/x
  3. Step 3: Cross multiply
    780.75x = 1,077.57 × 470.25
  4. Step 4: Simplify right side
    780.75x = 506,727.29
  5. Step 5: Solve for x
    x = 506,727.29/780.75
  6. Step 6: Final answer
    x = 649.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.