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Finding the Fourth Proportional to 984.93, 1,359.05 and 565.30

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Solution

The fourth proportional to 984.93, 1,359.05 and 565.30 is: 780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.93 : 1,359.05 = 565.30 : x
  2. Step 2: Convert to fraction form
    984.93/1,359.05 = 565.30/x
  3. Step 3: Cross multiply
    984.93x = 1,359.05 × 565.30
  4. Step 4: Simplify right side
    984.93x = 768,269.83
  5. Step 5: Solve for x
    x = 768,269.83/984.93
  6. Step 6: Final answer
    x = 780.03

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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.