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Finding the Fourth Proportional to 765.30, 1,054.17 and 590.34

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Solution

The fourth proportional to 765.30, 1,054.17 and 590.34 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.30 : 1,054.17 = 590.34 : x
  2. Step 2: Convert to fraction form
    765.30/1,054.17 = 590.34/x
  3. Step 3: Cross multiply
    765.30x = 1,054.17 × 590.34
  4. Step 4: Simplify right side
    765.30x = 622,318.72
  5. Step 5: Solve for x
    x = 622,318.72/765.30
  6. Step 6: Final answer
    x = 813.17

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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.