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Finding the Fourth Proportional to 1,132.86, 1,698.22 and 612.08

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Solution

The fourth proportional to 1,132.86, 1,698.22 and 612.08 is: 917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.86 : 1,698.22 = 612.08 : x
  2. Step 2: Convert to fraction form
    1,132.86/1,698.22 = 612.08/x
  3. Step 3: Cross multiply
    1,132.86x = 1,698.22 × 612.08
  4. Step 4: Simplify right side
    1,132.86x = 1,039,446.50
  5. Step 5: Solve for x
    x = 1,039,446.50/1,132.86
  6. Step 6: Final answer
    x = 917.54

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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.