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Finding the Fourth Proportional to 765.06, 1,056.14 and 450.22

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Solution

The fourth proportional to 765.06, 1,056.14 and 450.22 is: 621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.06 : 1,056.14 = 450.22 : x
  2. Step 2: Convert to fraction form
    765.06/1,056.14 = 450.22/x
  3. Step 3: Cross multiply
    765.06x = 1,056.14 × 450.22
  4. Step 4: Simplify right side
    765.06x = 475,495.61
  5. Step 5: Solve for x
    x = 475,495.61/765.06
  6. Step 6: Final answer
    x = 621.52

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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.