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Finding the Fourth Proportional to 765.67, 1,056.62 and 434.16

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Solution

The fourth proportional to 765.67, 1,056.62 and 434.16 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.67 : 1,056.62 = 434.16 : x
  2. Step 2: Convert to fraction form
    765.67/1,056.62 = 434.16/x
  3. Step 3: Cross multiply
    765.67x = 1,056.62 × 434.16
  4. Step 4: Simplify right side
    765.67x = 458,742.14
  5. Step 5: Solve for x
    x = 458,742.14/765.67
  6. Step 6: Final answer
    x = 599.14

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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.