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Finding the Fourth Proportional to 917.37, 1,376.12 and 506.70

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Solution

The fourth proportional to 917.37, 1,376.12 and 506.70 is: 760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.37 : 1,376.12 = 506.70 : x
  2. Step 2: Convert to fraction form
    917.37/1,376.12 = 506.70/x
  3. Step 3: Cross multiply
    917.37x = 1,376.12 × 506.70
  4. Step 4: Simplify right side
    917.37x = 697,281.27
  5. Step 5: Solve for x
    x = 697,281.27/917.37
  6. Step 6: Final answer
    x = 760.09

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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.