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Finding the Fourth Proportional to 765.00, 1,055.70 and 415.68

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Solution

The fourth proportional to 765.00, 1,055.70 and 415.68 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.00 : 1,055.70 = 415.68 : x
  2. Step 2: Convert to fraction form
    765.00/1,055.70 = 415.68/x
  3. Step 3: Cross multiply
    765.00x = 1,055.70 × 415.68
  4. Step 4: Simplify right side
    765.00x = 438,836.02
  5. Step 5: Solve for x
    x = 438,836.02/765.00
  6. Step 6: Final answer
    x = 573.65

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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.