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Finding the Fourth Proportional to 765.74, 1,056.80 and 434.25

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Solution

The fourth proportional to 765.74, 1,056.80 and 434.25 is: 599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.74 : 1,056.80 = 434.25 : x
  2. Step 2: Convert to fraction form
    765.74/1,056.80 = 434.25/x
  3. Step 3: Cross multiply
    765.74x = 1,056.80 × 434.25
  4. Step 4: Simplify right side
    765.74x = 458,913.23
  5. Step 5: Solve for x
    x = 458,913.23/765.74
  6. Step 6: Final answer
    x = 599.31

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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.