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Finding the Fourth Proportional to 917.59, 1,376.46 and 454.90

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Solution

The fourth proportional to 917.59, 1,376.46 and 454.90 is: 682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.59 : 1,376.46 = 454.90 : x
  2. Step 2: Convert to fraction form
    917.59/1,376.46 = 454.90/x
  3. Step 3: Cross multiply
    917.59x = 1,376.46 × 454.90
  4. Step 4: Simplify right side
    917.59x = 626,150.79
  5. Step 5: Solve for x
    x = 626,150.79/917.59
  6. Step 6: Final answer
    x = 682.39

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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.