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Finding the Fourth Proportional to 1,653.40, 2,478.48 and 829.20

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Solution

The fourth proportional to 1,653.40, 2,478.48 and 829.20 is: 1,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.40 : 2,478.48 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,653.40/2,478.48 = 829.20/x
  3. Step 3: Cross multiply
    1,653.40x = 2,478.48 × 829.20
  4. Step 4: Simplify right side
    1,653.40x = 2,055,155.62
  5. Step 5: Solve for x
    x = 2,055,155.62/1,653.40
  6. Step 6: Final answer
    x = 1,242.99

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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.