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Finding the Fourth Proportional to 765.02, 1,055.74 and 415.71

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Solution

The fourth proportional to 765.02, 1,055.74 and 415.71 is: 573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.02 : 1,055.74 = 415.71 : x
  2. Step 2: Convert to fraction form
    765.02/1,055.74 = 415.71/x
  3. Step 3: Cross multiply
    765.02x = 1,055.74 × 415.71
  4. Step 4: Simplify right side
    765.02x = 438,880.64
  5. Step 5: Solve for x
    x = 438,880.64/765.02
  6. Step 6: Final answer
    x = 573.68

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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.