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Finding the Fourth Proportional to 765.09, 1,055.85 and 470.25

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Solution

The fourth proportional to 765.09, 1,055.85 and 470.25 is: 648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.09 : 1,055.85 = 470.25 : x
  2. Step 2: Convert to fraction form
    765.09/1,055.85 = 470.25/x
  3. Step 3: Cross multiply
    765.09x = 1,055.85 × 470.25
  4. Step 4: Simplify right side
    765.09x = 496,513.46
  5. Step 5: Solve for x
    x = 496,513.46/765.09
  6. Step 6: Final answer
    x = 648.96

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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.