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Finding the Fourth Proportional to 917.46, 1,266.16 and 524.50

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Solution

The fourth proportional to 917.46, 1,266.16 and 524.50 is: 723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.46 : 1,266.16 = 524.50 : x
  2. Step 2: Convert to fraction form
    917.46/1,266.16 = 524.50/x
  3. Step 3: Cross multiply
    917.46x = 1,266.16 × 524.50
  4. Step 4: Simplify right side
    917.46x = 664,100.92
  5. Step 5: Solve for x
    x = 664,100.92/917.46
  6. Step 6: Final answer
    x = 723.85

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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.