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Finding the Fourth Proportional to 917.33, 1,376.76 and 500.97

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Solution

The fourth proportional to 917.33, 1,376.76 and 500.97 is: 751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.33 : 1,376.76 = 500.97 : x
  2. Step 2: Convert to fraction form
    917.33/1,376.76 = 500.97/x
  3. Step 3: Cross multiply
    917.33x = 1,376.76 × 500.97
  4. Step 4: Simplify right side
    917.33x = 689,714.75
  5. Step 5: Solve for x
    x = 689,714.75/917.33
  6. Step 6: Final answer
    x = 751.87

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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.