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Finding the Fourth Proportional to 765.69, 1,056.66 and 434.14

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Solution

The fourth proportional to 765.69, 1,056.66 and 434.14 is: 599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.69 : 1,056.66 = 434.14 : x
  2. Step 2: Convert to fraction form
    765.69/1,056.66 = 434.14/x
  3. Step 3: Cross multiply
    765.69x = 1,056.66 × 434.14
  4. Step 4: Simplify right side
    765.69x = 458,734.10
  5. Step 5: Solve for x
    x = 458,734.10/765.69
  6. Step 6: Final answer
    x = 599.11

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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.