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Finding the Fourth Proportional to 747.15, 1,030.87 and 415.50

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Solution

The fourth proportional to 747.15, 1,030.87 and 415.50 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.15 : 1,030.87 = 415.50 : x
  2. Step 2: Convert to fraction form
    747.15/1,030.87 = 415.50/x
  3. Step 3: Cross multiply
    747.15x = 1,030.87 × 415.50
  4. Step 4: Simplify right side
    747.15x = 428,323.14
  5. Step 5: Solve for x
    x = 428,323.14/747.15
  6. Step 6: Final answer
    x = 573.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.