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Finding the Fourth Proportional to 765.14, 1,055.91 and 433.55

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Solution

The fourth proportional to 765.14, 1,055.91 and 433.55 is: 598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.14 : 1,055.91 = 433.55 : x
  2. Step 2: Convert to fraction form
    765.14/1,055.91 = 433.55/x
  3. Step 3: Cross multiply
    765.14x = 1,055.91 × 433.55
  4. Step 4: Simplify right side
    765.14x = 457,795.04
  5. Step 5: Solve for x
    x = 457,795.04/765.14
  6. Step 6: Final answer
    x = 598.32

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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.