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Finding the Fourth Proportional to 830.57, 1,145.79 and 550.94

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Solution

The fourth proportional to 830.57, 1,145.79 and 550.94 is: 760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.57 : 1,145.79 = 550.94 : x
  2. Step 2: Convert to fraction form
    830.57/1,145.79 = 550.94/x
  3. Step 3: Cross multiply
    830.57x = 1,145.79 × 550.94
  4. Step 4: Simplify right side
    830.57x = 631,255.81
  5. Step 5: Solve for x
    x = 631,255.81/830.57
  6. Step 6: Final answer
    x = 760.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.