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Finding the Fourth Proportional to 1,329.13, 1,993.47 and 355.01

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Solution

The fourth proportional to 1,329.13, 1,993.47 and 355.01 is: 532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.13 : 1,993.47 = 355.01 : x
  2. Step 2: Convert to fraction form
    1,329.13/1,993.47 = 355.01/x
  3. Step 3: Cross multiply
    1,329.13x = 1,993.47 × 355.01
  4. Step 4: Simplify right side
    1,329.13x = 707,698.59
  5. Step 5: Solve for x
    x = 707,698.59/1,329.13
  6. Step 6: Final answer
    x = 532.45

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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.