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Finding the Fourth Proportional to 909.94, 1,255.86 and 537.01

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Solution

The fourth proportional to 909.94, 1,255.86 and 537.01 is: 741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.94 : 1,255.86 = 537.01 : x
  2. Step 2: Convert to fraction form
    909.94/1,255.86 = 537.01/x
  3. Step 3: Cross multiply
    909.94x = 1,255.86 × 537.01
  4. Step 4: Simplify right side
    909.94x = 674,403.10
  5. Step 5: Solve for x
    x = 674,403.10/909.94
  6. Step 6: Final answer
    x = 741.16

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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.