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Finding the Fourth Proportional to 829.99, 1,245.19 and 465.02

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Solution

The fourth proportional to 829.99, 1,245.19 and 465.02 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.99 : 1,245.19 = 465.02 : x
  2. Step 2: Convert to fraction form
    829.99/1,245.19 = 465.02/x
  3. Step 3: Cross multiply
    829.99x = 1,245.19 × 465.02
  4. Step 4: Simplify right side
    829.99x = 579,038.25
  5. Step 5: Solve for x
    x = 579,038.25/829.99
  6. Step 6: Final answer
    x = 697.64

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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.