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Finding the Fourth Proportional to 935.55, 1,290.86 and 537.26

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Solution

The fourth proportional to 935.55, 1,290.86 and 537.26 is: 741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.55 : 1,290.86 = 537.26 : x
  2. Step 2: Convert to fraction form
    935.55/1,290.86 = 537.26/x
  3. Step 3: Cross multiply
    935.55x = 1,290.86 × 537.26
  4. Step 4: Simplify right side
    935.55x = 693,525.46
  5. Step 5: Solve for x
    x = 693,525.46/935.55
  6. Step 6: Final answer
    x = 741.30

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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.