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Finding the Fourth Proportional to 909.41, 1,254.83 and 536.48

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Solution

The fourth proportional to 909.41, 1,254.83 and 536.48 is: 740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.41 : 1,254.83 = 536.48 : x
  2. Step 2: Convert to fraction form
    909.41/1,254.83 = 536.48/x
  3. Step 3: Cross multiply
    909.41x = 1,254.83 × 536.48
  4. Step 4: Simplify right side
    909.41x = 673,182.24
  5. Step 5: Solve for x
    x = 673,182.24/909.41
  6. Step 6: Final answer
    x = 740.24

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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.