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Finding the Fourth Proportional to 765.25, 1,055.94 and 433.67

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Solution

The fourth proportional to 765.25, 1,055.94 and 433.67 is: 598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.25 : 1,055.94 = 433.67 : x
  2. Step 2: Convert to fraction form
    765.25/1,055.94 = 433.67/x
  3. Step 3: Cross multiply
    765.25x = 1,055.94 × 433.67
  4. Step 4: Simplify right side
    765.25x = 457,924.22
  5. Step 5: Solve for x
    x = 457,924.22/765.25
  6. Step 6: Final answer
    x = 598.40

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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.