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Finding the Fourth Proportional to 612.60, 917.24 and 505.68

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Solution

The fourth proportional to 612.60, 917.24 and 505.68 is: 757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.60 : 917.24 = 505.68 : x
  2. Step 2: Convert to fraction form
    612.60/917.24 = 505.68/x
  3. Step 3: Cross multiply
    612.60x = 917.24 × 505.68
  4. Step 4: Simplify right side
    612.60x = 463,829.92
  5. Step 5: Solve for x
    x = 463,829.92/612.60
  6. Step 6: Final answer
    x = 757.15

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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.