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Finding the Fourth Proportional to 907.46, 1,252.60 and 558.26

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Solution

The fourth proportional to 907.46, 1,252.60 and 558.26 is: 770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.46 : 1,252.60 = 558.26 : x
  2. Step 2: Convert to fraction form
    907.46/1,252.60 = 558.26/x
  3. Step 3: Cross multiply
    907.46x = 1,252.60 × 558.26
  4. Step 4: Simplify right side
    907.46x = 699,276.48
  5. Step 5: Solve for x
    x = 699,276.48/907.46
  6. Step 6: Final answer
    x = 770.59

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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.