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Finding the Fourth Proportional to 765.26, 1,056.06 and 415.95

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Solution

The fourth proportional to 765.26, 1,056.06 and 415.95 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.26 : 1,056.06 = 415.95 : x
  2. Step 2: Convert to fraction form
    765.26/1,056.06 = 415.95/x
  3. Step 3: Cross multiply
    765.26x = 1,056.06 × 415.95
  4. Step 4: Simplify right side
    765.26x = 439,270.14
  5. Step 5: Solve for x
    x = 439,270.14/765.26
  6. Step 6: Final answer
    x = 574.01

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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.