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Finding the Fourth Proportional to 765.83, 1,056.80 and 434.28

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Solution

The fourth proportional to 765.83, 1,056.80 and 434.28 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.83 : 1,056.80 = 434.28 : x
  2. Step 2: Convert to fraction form
    765.83/1,056.80 = 434.28/x
  3. Step 3: Cross multiply
    765.83x = 1,056.80 × 434.28
  4. Step 4: Simplify right side
    765.83x = 458,952.15
  5. Step 5: Solve for x
    x = 458,952.15/765.83
  6. Step 6: Final answer
    x = 599.29

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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.