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Finding the Fourth Proportional to 765.04, 1,055.72 and 433.46

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Solution

The fourth proportional to 765.04, 1,055.72 and 433.46 is: 598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.04 : 1,055.72 = 433.46 : x
  2. Step 2: Convert to fraction form
    765.04/1,055.72 = 433.46/x
  3. Step 3: Cross multiply
    765.04x = 1,055.72 × 433.46
  4. Step 4: Simplify right side
    765.04x = 457,610.18
  5. Step 5: Solve for x
    x = 457,610.18/765.04
  6. Step 6: Final answer
    x = 598.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.