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Finding the Fourth Proportional to 1,320.00, 1,821.81 and 788.91

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Solution

The fourth proportional to 1,320.00, 1,821.81 and 788.91 is: 1,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.00 : 1,821.81 = 788.91 : x
  2. Step 2: Convert to fraction form
    1,320.00/1,821.81 = 788.91/x
  3. Step 3: Cross multiply
    1,320.00x = 1,821.81 × 788.91
  4. Step 4: Simplify right side
    1,320.00x = 1,437,235.82
  5. Step 5: Solve for x
    x = 1,437,235.82/1,320.00
  6. Step 6: Final answer
    x = 1,088.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.