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Finding the Fourth Proportional to 780.63, 1,077.26 and 470.13

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Solution

The fourth proportional to 780.63, 1,077.26 and 470.13 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.63 : 1,077.26 = 470.13 : x
  2. Step 2: Convert to fraction form
    780.63/1,077.26 = 470.13/x
  3. Step 3: Cross multiply
    780.63x = 1,077.26 × 470.13
  4. Step 4: Simplify right side
    780.63x = 506,452.24
  5. Step 5: Solve for x
    x = 506,452.24/780.63
  6. Step 6: Final answer
    x = 648.77

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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.