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Finding the Fourth Proportional to 780.98, 1,077.48 and 470.30

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Solution

The fourth proportional to 780.98, 1,077.48 and 470.30 is: 648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.98 : 1,077.48 = 470.30 : x
  2. Step 2: Convert to fraction form
    780.98/1,077.48 = 470.30/x
  3. Step 3: Cross multiply
    780.98x = 1,077.48 × 470.30
  4. Step 4: Simplify right side
    780.98x = 506,738.84
  5. Step 5: Solve for x
    x = 506,738.84/780.98
  6. Step 6: Final answer
    x = 648.85

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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.