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Finding the Fourth Proportional to 747.10, 1,030.96 and 415.50

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Solution

The fourth proportional to 747.10, 1,030.96 and 415.50 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.10 : 1,030.96 = 415.50 : x
  2. Step 2: Convert to fraction form
    747.10/1,030.96 = 415.50/x
  3. Step 3: Cross multiply
    747.10x = 1,030.96 × 415.50
  4. Step 4: Simplify right side
    747.10x = 428,362.84
  5. Step 5: Solve for x
    x = 428,362.84/747.10
  6. Step 6: Final answer
    x = 573.37

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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.