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Finding the Fourth Proportional to 747.07, 1,030.89 and 415.48

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Solution

The fourth proportional to 747.07, 1,030.89 and 415.48 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.07 : 1,030.89 = 415.48 : x
  2. Step 2: Convert to fraction form
    747.07/1,030.89 = 415.48/x
  3. Step 3: Cross multiply
    747.07x = 1,030.89 × 415.48
  4. Step 4: Simplify right side
    747.07x = 428,314.18
  5. Step 5: Solve for x
    x = 428,314.18/747.07
  6. Step 6: Final answer
    x = 573.33

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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.