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Finding the Fourth Proportional to 1,320.00, 1,980.45 and 498.51

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Solution

The fourth proportional to 1,320.00, 1,980.45 and 498.51 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.00 : 1,980.45 = 498.51 : x
  2. Step 2: Convert to fraction form
    1,320.00/1,980.45 = 498.51/x
  3. Step 3: Cross multiply
    1,320.00x = 1,980.45 × 498.51
  4. Step 4: Simplify right side
    1,320.00x = 987,261.73
  5. Step 5: Solve for x
    x = 987,261.73/1,320.00
  6. Step 6: Final answer
    x = 747.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.