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Finding the Fourth Proportional to 765.36, 1,056.15 and 433.85

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Solution

The fourth proportional to 765.36, 1,056.15 and 433.85 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.36 : 1,056.15 = 433.85 : x
  2. Step 2: Convert to fraction form
    765.36/1,056.15 = 433.85/x
  3. Step 3: Cross multiply
    765.36x = 1,056.15 × 433.85
  4. Step 4: Simplify right side
    765.36x = 458,205.40
  5. Step 5: Solve for x
    x = 458,205.40/765.36
  6. Step 6: Final answer
    x = 598.68

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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.