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Finding the Fourth Proportional to 1,648.13, 2,473.41 and 782.45

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Solution

The fourth proportional to 1,648.13, 2,473.41 and 782.45 is: 1,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.13 : 2,473.41 = 782.45 : x
  2. Step 2: Convert to fraction form
    1,648.13/2,473.41 = 782.45/x
  3. Step 3: Cross multiply
    1,648.13x = 2,473.41 × 782.45
  4. Step 4: Simplify right side
    1,648.13x = 1,935,319.65
  5. Step 5: Solve for x
    x = 1,935,319.65/1,648.13
  6. Step 6: Final answer
    x = 1,174.25

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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.