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Finding the Fourth Proportional to 765.12, 1,055.92 and 569.20

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Solution

The fourth proportional to 765.12, 1,055.92 and 569.20 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.12 : 1,055.92 = 569.20 : x
  2. Step 2: Convert to fraction form
    765.12/1,055.92 = 569.20/x
  3. Step 3: Cross multiply
    765.12x = 1,055.92 × 569.20
  4. Step 4: Simplify right side
    765.12x = 601,029.66
  5. Step 5: Solve for x
    x = 601,029.66/765.12
  6. Step 6: Final answer
    x = 785.54

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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.