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Finding the Fourth Proportional to 829.65, 1,242.65 and 599.00

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Solution

The fourth proportional to 829.65, 1,242.65 and 599.00 is: 897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.65 : 1,242.65 = 599.00 : x
  2. Step 2: Convert to fraction form
    829.65/1,242.65 = 599.00/x
  3. Step 3: Cross multiply
    829.65x = 1,242.65 × 599.00
  4. Step 4: Simplify right side
    829.65x = 744,338.14
  5. Step 5: Solve for x
    x = 744,338.14/829.65
  6. Step 6: Final answer
    x = 897.17

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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.