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Finding the Fourth Proportional to 1,132.91, 1,698.46 and 1,041.79

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Solution

The fourth proportional to 1,132.91, 1,698.46 and 1,041.79 is: 1,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.91 : 1,698.46 = 1,041.79 : x
  2. Step 2: Convert to fraction form
    1,132.91/1,698.46 = 1,041.79/x
  3. Step 3: Cross multiply
    1,132.91x = 1,698.46 × 1,041.79
  4. Step 4: Simplify right side
    1,132.91x = 1,769,431.79
  5. Step 5: Solve for x
    x = 1,769,431.79/1,132.91
  6. Step 6: Final answer
    x = 1,561.84

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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.