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Finding the Fourth Proportional to 909.37, 1,364.25 and 498.29

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Solution

The fourth proportional to 909.37, 1,364.25 and 498.29 is: 747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.37 : 1,364.25 = 498.29 : x
  2. Step 2: Convert to fraction form
    909.37/1,364.25 = 498.29/x
  3. Step 3: Cross multiply
    909.37x = 1,364.25 × 498.29
  4. Step 4: Simplify right side
    909.37x = 679,792.13
  5. Step 5: Solve for x
    x = 679,792.13/909.37
  6. Step 6: Final answer
    x = 747.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.