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Finding the Fourth Proportional to 765.90, 1,057.02 and 434.34

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Solution

The fourth proportional to 765.90, 1,057.02 and 434.34 is: 599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.90 : 1,057.02 = 434.34 : x
  2. Step 2: Convert to fraction form
    765.90/1,057.02 = 434.34/x
  3. Step 3: Cross multiply
    765.90x = 1,057.02 × 434.34
  4. Step 4: Simplify right side
    765.90x = 459,106.07
  5. Step 5: Solve for x
    x = 459,106.07/765.90
  6. Step 6: Final answer
    x = 599.43

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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.