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Finding the Fourth Proportional to 765.58, 1,056.42 and 429.48

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Solution

The fourth proportional to 765.58, 1,056.42 and 429.48 is: 592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.58 : 1,056.42 = 429.48 : x
  2. Step 2: Convert to fraction form
    765.58/1,056.42 = 429.48/x
  3. Step 3: Cross multiply
    765.58x = 1,056.42 × 429.48
  4. Step 4: Simplify right side
    765.58x = 453,716.49
  5. Step 5: Solve for x
    x = 453,716.49/765.58
  6. Step 6: Final answer
    x = 592.64

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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.