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Finding the Fourth Proportional to 780.52, 1,076.60 and 470.02

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Solution

The fourth proportional to 780.52, 1,076.60 and 470.02 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.52 : 1,076.60 = 470.02 : x
  2. Step 2: Convert to fraction form
    780.52/1,076.60 = 470.02/x
  3. Step 3: Cross multiply
    780.52x = 1,076.60 × 470.02
  4. Step 4: Simplify right side
    780.52x = 506,023.53
  5. Step 5: Solve for x
    x = 506,023.53/780.52
  6. Step 6: Final answer
    x = 648.32

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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.