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Finding the Fourth Proportional to 765.23, 1,056.03 and 433.66

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Solution

The fourth proportional to 765.23, 1,056.03 and 433.66 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.23 : 1,056.03 = 433.66 : x
  2. Step 2: Convert to fraction form
    765.23/1,056.03 = 433.66/x
  3. Step 3: Cross multiply
    765.23x = 1,056.03 × 433.66
  4. Step 4: Simplify right side
    765.23x = 457,955.33
  5. Step 5: Solve for x
    x = 457,955.33/765.23
  6. Step 6: Final answer
    x = 598.45

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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.